Algebra Examples

$7 \sqrt[5]{b^{5} n} - 2 b \sqrt[10]{n^{2}}$

Step 1

Simplify each term.

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Step 1.1

Pull terms out from under the radical.

$7 (b \sqrt[5]{n}) - 2 b \sqrt[10]{n^{2}}$

Step 1.2

Rewrite $\sqrt[10]{n^{2}}$ as $\sqrt[5]{\sqrt{n^{2}}}$ .

$7 b \sqrt[5]{n} - 2 b \sqrt[5]{\sqrt{n^{2}}}$

Step 1.3

Pull terms out from under the radical, assuming positive real numbers.

$7 b \sqrt[5]{n} - 2 b \sqrt[5]{n}$

Step 2

Subtract $2 b \sqrt[5]{n}$ from $7 b \sqrt[5]{n}$ .

$5 b \sqrt[5]{n}$