Algebra Examples

$f (x) = \sqrt{\sqrt[3]{x^{3} \cdot \sqrt[4]{x}}}$

Step 1

Write $f (x) = \sqrt{\sqrt[3]{x^{3} \cdot \sqrt[4]{x}}}$ as an equation.

$y = \sqrt{\sqrt[3]{x^{3} \cdot \sqrt[4]{x}}}$

Step 2

Simplify $\sqrt{\sqrt[3]{x^{3} \cdot \sqrt[4]{x}}}$ .

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Step 2.1

Pull terms out from under the radical.

$y = \sqrt{x \sqrt[3]{\sqrt[4]{x}}}$

Step 2.2

Rewrite $\sqrt[3]{\sqrt[4]{x}}$ as $\sqrt[12]{x}$ .

$y = \sqrt{x \sqrt[12]{x}}$