Simplify (6 square root of 15)/(2 square root of 3)

$\frac{6 \sqrt{15}}{2 \sqrt{3}}$

Step 1

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 \sqrt{15}$ .

$\frac{2 (3 \sqrt{15})}{2 \sqrt{3}}$

Cancel the common factors.

Factor $2$ out of $2 \sqrt{3}$ .

$\frac{2 (3 \sqrt{15})}{2 (\sqrt{3})}$

Cancel the common factor.

$\frac{2 (3 \sqrt{15})}{2 \sqrt{3}}$

Rewrite the expression.

$\frac{3 \sqrt{15}}{\sqrt{3}}$

Step 2

Combine $\sqrt{15}$ and $\sqrt{3}$ into a single radical.

$3 \sqrt{\frac{15}{3}}$

Step 3

Divide $15$ by $3$ .

$3 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{5}$

Decimal Form:

$6.70820393 \dots$