exam Maths Puzzle Numerical Ability

I am having a problem solving this problem:

Is the square root of x^2 =x an identity (true for all values of x)?
Thanks for your time.

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exam Other Question

how would you solve this problem algebracily??

the vectors [8,0] and [3,4] form a parallelogram. find the lengths of its altitudes.
Find the LCD for the given rational expression, and convert the rational expression into an equivalent rational expression with the LCD as the denominator.

3/4b^2-9, 2b/2b+3, -