Finite Math Examples

$\frac{49 \sqrt{12}}{7 \sqrt{6}}$

Step 1

Cancel the common factor of $49$ and $7$ .

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Step 1.1

Factor $7$ out of $49 \sqrt{12}$ .

$\frac{7 (7 \sqrt{12})}{7 \sqrt{6}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $7$ out of $7 \sqrt{6}$ .

$\frac{7 (7 \sqrt{12})}{7 (\sqrt{6})}$

Step 1.2.2

Cancel the common factor.

$\frac{7 (7 \sqrt{12})}{7 \sqrt{6}}$

Step 1.2.3

Rewrite the expression.

$\frac{7 \sqrt{12}}{\sqrt{6}}$

Step 2

Combine $\sqrt{12}$ and $\sqrt{6}$ into a single radical.

$7 \sqrt{\frac{12}{6}}$

Step 3

Divide $12$ by $6$ .

$7 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{2}$

Decimal Form:

$9.89949493 \dots$