Algebra Examples

$\sqrt[4]{x^{6} y^{3}} + \sqrt[4]{x^{10} y^{3}}$

Step 1

Rewrite $x^{6} y^{3}$ as $x^{4} (x^{2} y^{3})$ .

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Step 1.1

Factor out $x^{4}$ .

$\sqrt[4]{x^{4} x^{2} y^{3}} + \sqrt[4]{x^{10} y^{3}}$

Step 1.2

Add parentheses.

$\sqrt[4]{x^{4} (x^{2} y^{3})} + \sqrt[4]{x^{10} y^{3}}$

Step 2

Pull terms out from under the radical.

$x \sqrt[4]{x^{2} y^{3}} + \sqrt[4]{x^{10} y^{3}}$

Step 3

Rewrite $x^{10} y^{3}$ as ${(x^{2})}^{4} (x^{2} y^{3})$ .

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Step 3.1

Factor out $x^{8}$ .

$x \sqrt[4]{x^{2} y^{3}} + \sqrt[4]{x^{8} x^{2} y^{3}}$

Step 3.2

Rewrite $x^{8}$ as ${(x^{2})}^{4}$ .

$x \sqrt[4]{x^{2} y^{3}} + \sqrt[4]{{(x^{2})}^{4} x^{2} y^{3}}$

Step 3.3

Add parentheses.

$x \sqrt[4]{x^{2} y^{3}} + \sqrt[4]{{(x^{2})}^{4} (x^{2} y^{3})}$

Step 4

Pull terms out from under the radical.

$x \sqrt[4]{x^{2} y^{3}} + x^{2} \sqrt[4]{x^{2} y^{3}}$