Simplify the Radical Expression square root of -100xy^8

$\sqrt{- 100 x y^{8}}$

Rewrite $- 100 x y^{8}$ as ${(10 y^{4})}^{2} \cdot (- x)$ .

Factor $100$ out of $- 100$ .

$\sqrt{100 (- 1) x y^{8}}$

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2} \cdot - 1 x y^{8}}$

Rewrite $y^{8}$ as ${(y^{4})}^{2}$ .

$\sqrt{10^{2} \cdot - 1 x {(y^{4})}^{2}}$

Move $x$ .

$\sqrt{10^{2} \cdot - 1 {(y^{4})}^{2} x}$

Move $- 1$ .

$\sqrt{10^{2} {(y^{4})}^{2} \cdot - 1 x}$

Rewrite $10^{2} {(y^{4})}^{2}$ as ${(10 y^{4})}^{2}$ .

$\sqrt{{(10 y^{4})}^{2} \cdot - 1 x}$

Add parentheses.

$\sqrt{{(10 y^{4})}^{2} \cdot (- x)}$

Pull terms out from under the radical.

$| 10 y^{4} | \sqrt{- x}$

Remove non-negative terms from the absolute value.

$10 y^{4} \sqrt{- x}$