Algebra Examples

$\sqrt{80 b^{2}}$

Step 1

Rewrite $80 b^{2}$ as ${(4 b)}^{2} \cdot 5$ .

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Step 1.1

Factor $16$ out of $80$ .

$\sqrt{16 (5) b^{2}}$

Step 1.2

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} \cdot 5 b^{2}}$

Step 1.3

Move $5$ .

$\sqrt{4^{2} b^{2} \cdot 5}$

Step 1.4

Rewrite $4^{2} b^{2}$ as ${(4 b)}^{2}$ .

$\sqrt{{(4 b)}^{2} \cdot 5}$

$\sqrt{{(4 b)}^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$4 b \sqrt{5}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$