Question

The value of ${\left({\left({\left({\left(4\right)}^2\right)}^{1/2}\right)}^2\right)}^{1/2}$ is ________.

• A. $4$
• B. $16$
• C. $2$
• D. $32$

Answer 1

Answer: (A)

$4$

We need to find value of ${\left({\left({\left({\left(4\right)}^2\right)}^{1/2}\right)}^2\right)}^{1/2}$

Here, $2$ & $\frac{1}{2}$ cancel each other in outer and inner brackets and we are left with $(4^1{)}^1=4$.