Basic Math Examples

$\frac{16 \sqrt{14}}{8 \sqrt{7}}$

Step 1

Cancel the common factor of $16$ and $8$ .

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Step 1.1

Factor $8$ out of $16 \sqrt{14}$ .

$\frac{8 (2 \sqrt{14})}{8 \sqrt{7}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $8$ out of $8 \sqrt{7}$ .

$\frac{8 (2 \sqrt{14})}{8 (\sqrt{7})}$

Step 1.2.2

Cancel the common factor.

$\frac{8 (2 \sqrt{14})}{8 \sqrt{7}}$

Step 1.2.3

Rewrite the expression.

$\frac{2 \sqrt{14}}{\sqrt{7}}$

Step 2

Combine $\sqrt{14}$ and $\sqrt{7}$ into a single radical.

$2 \sqrt{\frac{14}{7}}$

Step 3

Divide $14$ by $7$ .

$2 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{2}$

Decimal Form:

$2.82842712 \dots$