Precalculus Examples

$(\sqrt{b} - v) (\sqrt{b + v})$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{b}$ as $b^{\frac{1}{2}}$ .

$(b^{\frac{1}{2}} - v) \sqrt{b + v}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{b + v}$ as ${(b + v)}^{\frac{1}{2}}$ .

$(b^{\frac{1}{2}} - v) {(b + v)}^{\frac{1}{2}}$