# How do you simplify sqrt(-100a^4b^2)?

Nov 16, 2016

$10 i {a}^{2} b$

If you are simplifying, the answer is just positive, not positive and negative.

#### Explanation:

$\sqrt{- 100 {a}^{4} {b}^{2}}$

$\sqrt{- 1}$ = $i$, $\sqrt{100} = 10$, $\sqrt{{a}^{4}} = {a}^{2}$, $\sqrt{{b}^{2}} = b$

$\left(i \cdot 10 \cdot {a}^{2} \cdot b\right) = 10 i {a}^{2} b$