Tutorial Playlist
200 Lessons1. Introduction to Python
2. Features of Python
3. How to install python in windows
4. How to Install Python on macOS
5. Install Python on Linux
6. Hello World Program in Python
7. Python Variables
8. Global Variable in Python
9. Python Keywords and Identifiers
10. Assert Keyword in Python
11. Comments in Python
12. Escape Sequence in Python
13. Print In Python
14. Python-if-else-statement
15. Python for Loop
16. Nested for loop in Python
17. While Loop in Python
18. Python’s do-while Loop
19. Break in Python
20. Break Pass and Continue Statement in Python
21. Python Try Except
22. Data Types in Python
23. Float in Python
24. String Methods Python
25. List in Python
26. List Methods in Python
27. Tuples in Python
28. Dictionary in Python
29. Set in Python
30. Operators in Python
31. Boolean Operators in Python
32. Arithmetic Operators in Python
33. Assignment Operator in Python
34. Bitwise operators in Python
35. Identity Operator in Python
36. Operator Precedence in Python
37. Functions in Python
38. Lambda and Anonymous Function in Python
39. Range Function in Python
40. len() Function in Python
41. How to Use Lambda Functions in Python?
42. Random Function in Python
43. Python __init__() Function
44. String Split function in Python
45. Round function in Python
46. Find Function in Python
47. How to Call a Function in Python?
48. Python Functions Scope
49. Method Overloading in Python
50. Method Overriding in Python
51. Static Method in Python
52. Python List Index Method
53. Python Modules
54. Math Module in Python
55. Module and Package in Python
56. OS module in Python
57. Python Packages
58. OOPs Concepts in Python
59. Class in Python
60. Abstract Class in Python
61. Object in Python
62. Constructor in Python
63. Inheritance in Python
64. Multiple Inheritance in Python
65. Encapsulation in Python
66. Data Abstraction in Python
67. Opening and closing files in Python
68. How to open JSON file in Python
69. Read CSV Files in Python
70. How to Read a File in Python
71. How to Open a File in Python?
72. Python Write to File
73. JSON Python
74. Python JSON – How to Convert a String to JSON
75. Python JSON Encoding and Decoding
76. Exception Handling in Python
77. Recursion in Python
78. Python Decorators
79. Python Threading
80. Multithreading in Python
81. Multiprocеssing in Python
82. Python Regular Expressions
83. Enumerate() in Python
84. Map in Python
85. Filter in Python
86. Eval in Python
87. Difference Between List, Tuple, Set, and Dictionary in Python
88. List to String in Python
89. Linked List in Python
90. Length of list in Python
91. Reverse a List in Python
92. Python List remove() Method
93. How to Add Elements in a List in Python
94. How to Reverse a List in Python?
95. Difference Between List and Tuple in Python
96. List Slicing in Python
97. Sort in Python
98. Merge Sort in Python
99. Selection Sort in Python
100. Sort Array in Python
101. Sort Dictionary by Value in Python
102. Datetime Python
103. Random Number in Python
104. 2D Array in Python
105. Abs in Python
106. Advantages of Python
107. Anagram Program in Python
108. Append in Python
109. Applications of Python
110. Armstrong Number in Python
111. Assert in Python
112. Binary Search in Python
113. Binary to Decimal in Python
114. Bool in Python
115. Calculator Program in Python
116. chr in Python
117. Control Flow Statements in Python
118. Convert String to Datetime Python
119. Count in python
120. Counter in Python
121. Data Visualization in Python
122. Datetime in Python
123. Extend in Python
124. F-string in Python
125. Fibonacci Series in Python
126. Format in Python
127. GCD of Two Numbers in Python
128. How to Become a Python Developer
129. How to Run Python Program
130. In Which Year Was the Python Language Developed?
131. Indentation in Python
132. Index in Python
133. Interface in Python
134. Is Python Case Sensitive?
135. Isalpha in Python
136. Isinstance() in Python
137. Iterator in Python
138. Join in Python
139. Leap Year Program in Python
140. Lexicographical Order in Python
141. Literals in Python
142. Matplotlib
143. Matrix Multiplication in Python
144. Memory Management in Python
145. Modulus in Python
146. Mutable and Immutable in Python
147. Namespace and Scope in Python
148. OpenCV Python
149. Operator Overloading in Python
150. ord in Python
151. Palindrome in Python
152. Pass in Python
153. Pattern Program in Python
154. Perfect Number in Python
155. Permutation and Combination in Python
156. Prime Number Program in Python
157. Python Arrays
158. Python Automation Projects Ideas
159. Python Frameworks
160. Python Graphical User Interface GUI
161. Python IDE
162. Python input and output
163. Python Installation on Windows
164. Python Object-Oriented Programming
165. Python PIP
166. Python Seaborn
167. Python Slicing
168. type() function in Python
169. Queue in Python
170. Replace in Python
171. Reverse a Number in Python
172. Reverse a string in Python
173. Reverse String in Python
174. Stack in Python
175. scikit-learn
176. Selenium with Python
177. Self in Python
178. Sleep in Python
179. Speech Recognition in Python
180. Split in Python
181. Square Root in Python
Now Reading
182. String Comparison in Python
183. String Formatting in Python
184. String Slicing in Python
185. Strip in Python
186. Subprocess in Python
187. Substring in Python
188. Sum of Digits of a Number in Python
189. Sum of n Natural Numbers in Python
190. Sum of Prime Numbers in Python
191. Switch Case in Python
192. Python Program to Transpose a Matrix
193. Type Casting in Python
194. What are Lists in Python?
195. Ways to Define a Block of Code
196. What is Pygame
197. Why Python is Interpreted Language?
198. XOR in Python
199. Yield in Python
200. Zip in Python
Mathematics is the language of the universe, and finding the square root of a number is one of its fundamental operations. Various fields rely on the square root for calculations, from simple arithmetic calculations to complex scientific and engineering calculations. We can perform mathematical operations efficiently with Python in the world of programming. In the ‘math’ module, the sqrt() function allows us to conveniently calculate the square root of a number.
Using the square root function, we will explore the concept of the square root in Python, discover its significance, and unravel its implementation in this tutorial. To provide a hands-on understanding of this vital mathematical operation, we will examine real-world examples, accompanied by screenshots and images.
A value known as a number's square root is one that, when multiplied by itself, yields the original number. If 'a' is a positive number, its square root is represented in mathematics by the symbol a. It is a number's squared opposite operation. The radical symbol () is used to denote the square root function. Square roots can be numbers that are illogical or rational. Irrational square roots can't be represented as fractions and have decimal expressions that go indefinitely without repeating, whereas rational square roots can be expressed as straightforward fractions.
The square root in Python can be used to get the length of a square whose side equals a given value. It is represented by the math.sqrt() function and provides the result of multiplying the original number by itself. Taking a look at the square root concept briefly before moving on to Python's implementation will help you better understand it.
The square root of a number 'a' is indicated as √a and represents the value 'x' such that x * x = a. It is the inverse action of squaring an integer. For example, the square root of 25 is 5 since 5 * 5 = 25.
In rare circumstances, the square root of a number may not be a whole number. For example, the square root of 2 (√2) is roughly 1.41421356 and continues indefinitely without repetition. These square roots are referred to as irrational numbers. Python's ‘math’ module has the sqrt() function for quickly calculating square roots. Let's get into the procedure details now.
Since the number in this situation is 9, we must find a number "x" such that x * x = 9.
We know from elementary mathematics that 3 x 3 = 9. Thus, 3 is the square root of 9.
The square root of 2 cannot be stated as a straightforward fraction because, in contrast to the preceding example, it is an irrational number. Let's look at a few ways to represent the square root of 2:
We can sketch a square with a surface area of 2 square units to determine the square root of 2:
We now need to determine how long each side of this square is. We are aware that side length multiplied by side length equals the area of a square. Here, the area is 2, so we must find an integer 'x' that makes x * x = 2.
There isn't a whole number value for 'x' that can be found to satisfy this equation. It can be roughly calculated as 1.41421356 (rounded to 8 decimal places). This represents the square root of two.
Code:
import math
# Get the square root of a number
number = 16
square_root = math.sqrt(number)
print(f"The square root of {number} is {square_root}")
Explanation:
In this example, the math.sqrt() function is imported from the math module, and then it's used to calculate the square root of the number 16. The result is printed using an f-string.
Remember that the sqrt() function returns a floating-point number. Make sure to handle input validation and any potential exceptions that might arise when using mathematical functions in your code.
The domain of the sqrt() function in Python, which stands for "square root," includes all non-negative real numbers. This is because the square root of a negative number is not defined within the realm of real numbers.
Here's a simple Python code snippet that demonstrates the domain of the sqrt() function by calculating square roots for a range of non-negative values:
import math
for x in range(0, 11):
square_root = math.sqrt(x)
print(f"Square root of {x} is {square_root}")
In this example, the code uses a loop to calculate the square root of each number from 0 to 10. As you can see, the square root function works without issues for non-negative values, producing valid results.
However, attempting to calculate the square root of a negative number using sqrt() will result in a ValueError since square roots of negative numbers are not valid within the real number domain:
import math
try:
square_root = math.sqrt(-1)
print(square_root)
except ValueError:
print("Cannot calculate square root of a negative number.")
When you run this code, you'll see that attempting to calculate the square root of -1 results in a ValueError, which highlights the fact that the square root function is not defined for negative real numbers.
Code:
import math
for x in range(0, 11):
square_root = math.sqrt(x)
print(f"Square root of {x} is {square_root}")
The sqrt() function from the math module in Python returns a floating-point number. It calculates the square root of the input value and returns the result as a floating-point number.
Code:
import math
number = 25
square_root = math.sqrt(number)
print(f"The square root of {number} is {square_root}")
print(f"The type of square_root is {type(square_root)}")
Explanation:
As shown in the output, the result of the square root calculation (square_root) is of type float. This is consistent with the fact that square roots of most numbers, including integers, often result in non-integer values, hence the need for a floating-point representation.
Code:
import math
# Get the square root of a number
number = 16
square_root = math.sqrt(number)
print(f"The square root of {number} is {square_root}")
Explanation:
In this example, the math.sqrt() function is imported from the math module, and then it's used to calculate the square root of the number 16. The result is printed using an f-string.
Remember that the sqrt() function returns a floating-point number. Make sure to handle input validation and any potential exceptions that might arise when using mathematical functions in your code.
Code:
number = 16
square_root = pow(number, 0.5)
print(f"The square root of {number} is {square_root}")
Explanation:
In this code, the pow() function is used with the base number and the exponent 0.5 to calculate the square root. The result is stored in the variable square_root and then printed using an f-string.
This approach works because raising a number to the power of 0.5 is equivalent to finding its square root.
Code:
number = 16
square_root = number ** 0.5
print(f"The square root of {number} is {square_root}")
Explanation:
In this code, the ** operator is used with the base number and the exponent 0.5 to calculate the square root. The result is stored in the variable square_root and then printed using an f-string.
Just like with the pow() function, raising a number to the power of 0.5 using the ** operator is equivalent to finding its square root.
Method | Time Taken |
math.sqrt() | 0.543735271683627 |
math.pow() | 2.7523691482161328 |
** operator | 1.60870072153690586 |
Method | Time Taken |
math.sqrt() | 0.948235034942627 |
math.pow() | 1.2357196807861328 |
** operator | 0.40870046615600586 |
Code:
import math
# Input the number for which you want to find the square root
number = float(input("Enter a number: "))
# Calculate the square root using the math.sqrt() function
square_root = math.sqrt(number)
# Print the result
print(f"The square root of {number} is {square_root}")
In this tutorial, we examined the square root idea and demonstrated how to use Square Root in Python to determine the square root of a given number. We talked about the square root's visual representation and why it can occasionally produce irrational numbers. Applications in science, engineering, and data analysis frequently use Python's sqrt() function, which is a potent tool for performing numerous mathematical computations.
Whether you need to find the length of a side in a geometric problem or perform complex mathematical calculations, Python's sqrt() function provides a straightforward and efficient way to compute square roots. Remember to handle negative numbers carefully, as the sqrt() function only works with positive real numbers and zero.
1. Can complicated numbers be handled by Square Root in Python?
No, only positive real values and 0 are compatible with the math module's sqrt() function. The Python cmath package can be used to find the square roots of complex numbers.
2. What happens if I use the sqrt() function with a non-numeric value?
If you give a non-numeric value, Square Root in Python will throw a TypeError.
3. Is it possible to conduct many square root calculations efficiently?
Yes, you may use the sqrt() function to multiply the values of a list or an iterable by using list comprehensions or the map() method.
4. How precise is the function Square Root in Python to result in floating points?
Python's usage of floating-point representation affects how accurate the output is. For the majority of practical reasons, Python normally employs the IEEE 754 double-precision format, which offers a high level of accuracy.
PAVAN VADAPALLI
Director of Engineering
Director of Engineering @ upGrad. Motivated to leverage technology to solve problems. Seasoned leader for startups and fast moving orgs. Working …Read More
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upGrad does not grant credit; credits are granted, accepted or transferred at the sole discretion of the relevant educational institution offering the diploma or degree. We advise you to enquire further regarding the suitability of this program for your academic, professional requirements and job prospects before enr...