Question
Evaluate $\left(5^2+\left(12^2\right)^{1 / 2}\right)^3.$
✓
Answer
Given, $\left[5^2+\left(12^2\right)^{1 / 2}\right]^3$
Now, $(5)^2=25$
and $\quad\left(12^2\right)^{1 / 2}=(12)^{2 \times \frac{1}{2}}$
$=(12)^1=12$
$\begin{aligned}\text{So, }(25+12)^3 & =(37)^3 \\ & =50653\end{aligned}$
Now, $(5)^2=25$
and $\quad\left(12^2\right)^{1 / 2}=(12)^{2 \times \frac{1}{2}}$
$=(12)^1=12$
$\begin{aligned}\text{So, }(25+12)^3 & =(37)^3 \\ & =50653\end{aligned}$
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