# How do you perform the operation and write the result in standard form given sqrt(-10)^2?

Jul 11, 2018

$\textcolor{c y a n}{\implies 10 i}$

#### Explanation:

$\sqrt{- {10}^{2}}$
$\implies \sqrt{{i}^{2} \cdot {10}^{2}}$ as ${i}^{2} \equiv - 1$

$\implies \sqrt{{i}^{2}} \cdot \sqrt{{10}^{2}}$

$\implies 10 i$