Algebra Examples

$\sqrt[3]{a + \sqrt{b}}$

Step 1

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

$\sqrt[3]{a + b^{\frac{1}{2}}}$

Step 2

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{a + b^{\frac{1}{2}}}$ as ${(a + b^{\frac{1}{2}})}^{\frac{1}{3}}$ .

${(a + b^{\frac{1}{2}})}^{\frac{1}{3}}$