Python Exercises: Check square root and cube root of a number

Last update on April 17 2025 13:00:42 (UTC/GMT +8 hours)

Cube and Square Root Match

A Python list contains two positive integers. Write a Python program to check whether the cube root of the first number is equal to the square root of the second number.

Sample Data:

([8, 4]) -> True
([64, 16]) -> True
([64, 36]) -> False

Sample Solution-1:

Python Code:

# Function to check if the square root of the first number is equal to the cube root of the second number.
def test(nums):
    # Extract the two numbers from the list.
    x = nums[0]
    y = nums[1]

    # Calculate the square root of y.
    t = y**0.5

    # Check if the square of the square root is equal to the cube of the first number.
    if(x == t*t*t):
        return True
    else:
        return False         

# Example usage of the function with different lists of positive numbers.
nums = [8, 4]
print("Original list of positive numbers:")
print(nums)
print("Check square root and cube root of the said numbers:")
print(test(nums))

nums = [64, 16]
print("\nOriginal list of positive numbers:")
print(nums)
print("Check square root and cube root of the said numbers:")
print(test(nums))

nums = [64, 36]
print("\nOriginal list of positive numbers:")
print(nums)
print("Check square root and cube root of the said numbers:")
print(test(nums))

Sample Output:

Original list of positive numbers:
[8, 4]
True
Check square root and cube root of the said numbers:
Original list of positive numbers:
[64, 16]
Check square root and cube root of the said numbers:
True
Original list of positive numbers:
[64, 36]
Check square root and cube root of the said numbers:
False

Explanation:

Here is a breakdown of the above Python code:

Function definition:

def test(nums):: Defines a function named "test()" that takes a list of two numbers (nums) as input.

Variable assignment:

x = nums[0]: Assigns the first element of the list to variable 'x'.
y = nums[1]: Assigns the second element of the list to variable 'y'.

Square root calculation:

t = y**0.5: Calculates the square root of 'y' and assigns it to the variable 't'.

Conditional check:

if(x == t*t*t):: Checks if the cube of the square root (t) is equal to the cube of x.

Return Statement:

return True or return False: Returns 'True' if the condition is satisfied, otherwise 'False'.

Flowchart:

Sample Solution-2:

Python Code:

# Function to check if the cube root of the square root of the second number is equal to the first number.
def test(nums):
    # Check if the cube root of the square root of the second number is equal to the first number.
    return (((nums[1] ** 0.5) ** 3) == nums[0])

# Example usage of the function with different lists of positive numbers.
nums = [8, 4]
print("Original list of positive numbers:")
print(nums)
print("Check square root and cube root of the said numbers:")
print(test(nums))

nums = [64, 16]
print("\nOriginal list of positive numbers:")
print(nums)
print("Check square root and cube root of the said numbers:")
print(test(nums))

nums = [64, 36]
print("\nOriginal list of positive numbers:")
print(nums)
print("Check square root and cube root of the said numbers:")
print(test(nums))

Sample Output:

Original list of positive numbers:
[8, 4]
True
Check square root and cube root of the said numbers:
Original list of positive numbers:
[64, 16]
Check square root and cube root of the said numbers:
True
Original list of positive numbers:
[64, 36]
Check square root and cube root of the said numbers:
False

Explanation:

Here is a breakdown of the above Python code:

Function definition:

def test(nums):: Defines a function named "test()" that takes a list of two numbers (nums) as input.

Conditional check:

return (((nums[1] 0.5) 3) == nums[0]): Checks if the cube root of the square root of the second number is equal to the first number.

Example usage:

Demonstrates the usage of the function with different lists of positive numbers and prints the results.

Flowchart:

For more Practice: Solve these Related Problems:

Write a Python program to verify if the cube root of the first number in a list equals the square root of the second number.
Write a Python program to calculate the cube root of one number and the square root of another and compare the results.
Write a Python program to check if a two-element list satisfies the condition where the cube root of the first equals the square root of the second.
Write a Python program to determine whether the cube root of an integer matches the square root of another integer from an input list.

Go to:

Previous: Largest and smallest digit of a given number.
Next: Sum of the digits in each number in a list is equal.

Python Code Editor:

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