Algebra Examples

$\sqrt[3]{512} \div \sqrt{16}$

Step 1

Rewrite the division as a fraction.

$\frac{\sqrt[3]{512}}{\sqrt{16}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $512$ as $8^{3}$ .

$\frac{\sqrt[3]{8^{3}}}{\sqrt{16}}$

Step 2.2

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

$\frac{8}{\sqrt{16}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $16$ as $4^{2}$ .

$\frac{8}{\sqrt{4^{2}}}$

Step 3.2

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

$\frac{8}{4}$

Step 4

Divide $8$ by $4$ .

$2$