Question

Find the value of ${\left[{\left(16\right)}^{\frac{1}{2}}\right]}^{\frac{1}{2}}$

Answer 1

${\left[{\left(16\right)}^{\frac{1}{2}}\right]}^{\frac{1}{2}}$

Now,

${\left[{\left(16\right)}^{\frac{1}{2}}\right]}^{\frac{1}{2}}$

$={\left(16\right)}^{\frac{1}{2}\times \frac{1}{2}}$

$={\left(16\right)}^{\frac{1}{4}}$

$={\left(2\right)}^{4\times \frac{1}{4}}$

$=2^1$

$=2$

Hence, the required value is $1$ .