Basic Math Examples

$\frac{6 y \sqrt{27 n}}{\sqrt{9 n}}$

Step 1

Combine $\sqrt{27 n}$ and $\sqrt{9 n}$ into a single radical.

$6 y \sqrt{\frac{27 n}{9 n}}$

Step 2

Reduce the expression $\frac{27 n}{9 n}$ by cancelling the common factors.

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Step 2.1

Factor $9$ out of $27 n$ .

$6 y \sqrt{\frac{9 (3 n)}{9 n}}$

Step 2.2

Factor $9$ out of $9 n$ .

$6 y \sqrt{\frac{9 (3 n)}{9 (n)}}$

Step 2.3

Cancel the common factor.

$6 y \sqrt{\frac{9 (3 n)}{9 n}}$

Step 2.4

Rewrite the expression.

$6 y \sqrt{\frac{3 n}{n}}$

Step 3

Cancel the common factor of $n$ .

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Step 3.1

Cancel the common factor.

$6 y \sqrt{\frac{3 n}{n}}$

Step 3.2

Divide $3$ by $1$ .

$6 y \sqrt{3}$