Linear Algebra Examples

$\frac{\sqrt{100 x}}{\sqrt{y^{16}}}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{\sqrt{10^{2} x}}{\sqrt{y^{16}}}$

Step 1.2

Pull terms out from under the radical.

$\frac{10 \sqrt{x}}{\sqrt{y^{16}}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $y^{16}$ as ${(y^{8})}^{2}$ .

$\frac{10 \sqrt{x}}{\sqrt{{(y^{8})}^{2}}}$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{10 \sqrt{x}}{y^{8}}$