Pre-Algebra Examples

$\sqrt[4]{64 b^{3}}$

Step 1

Rewrite $64 b^{3}$ as $2^{4} \cdot (4 b^{3})$ .

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Step 1.1

Factor $16$ out of $64$ .

$\sqrt[4]{16 (4) b^{3}}$

Step 1.2

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

$\sqrt[4]{2^{4} \cdot 4 b^{3}}$

Step 1.3

Add parentheses.

$\sqrt[4]{2^{4} \cdot (4 b^{3})}$

$\sqrt[4]{2^{4} \cdot (4 b^{3})}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[4]{4 b^{3}}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$