Suppose you are asked to test the square root function $($double sqrt$($double a$))$ in Java

Math library. You do not have the source code for the function however the specifications

of the function are available. The specifications of the function as follows:

$$ The function has one input parameter, a double value.

$$ The function returns the correctly rounded positive square root of a double value.

$$ If the argument is NaN or less than zero, then the result is NaN$*.$

$$ If the argument is positive infinity, then the result is positive infinity.

$$ If the argument is zero, then the result is the same as the argument.

$*$NaN is a numeric data type value which stands for $$not a number$($e$.$g$.$ Double.NaN$)$

$1.$ Explain why performing exhaustive testing $($testing with all possible inputs$)$ on this

method might not be considered efficient testing and propose an efficient testing

strategy.

$2.$ Explain how the proposed testing strategy is performed and list the minimum amount

of test inputs required to perform it$.$