Exact Square Root of a Number

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We will discuss two variations of the Square Root problems here.
Integer Square Root
Problem Statement: Implement int sqrt(int x).Compute and return the square root of x, where x is guaranteed to be a nonnegative integer.
Since the return type is an integer, the decimal digits are truncated and only the integer part of the result is returned.
Example 1:
Input: 4
Output: 2
Example 2:
Input: 8
Output: 2
Explanation: The square root of 8 is 2.82842..., and since the decimal part is truncated, 2 is returned.
Java and Python Solution with Detailed Discussion of Algorithm used:
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Real Square Root:
Problem Statement: Implement a function which takes as input a floating point value and return its square root.
Solution:
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