Divide (6 square root of 15)÷2 square root of 5

$6 \sqrt{15} \div 2 \sqrt{5}$

Step 1

Rewrite the division as a fraction.

$\frac{6 \sqrt{15}}{2 \sqrt{5}}$

Step 2

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

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

$\frac{2 (3 \sqrt{15})}{2 \sqrt{5}}$

Cancel the common factors.

Factor $2$ out of $2 \sqrt{5}$ .

$\frac{2 (3 \sqrt{15})}{2 (\sqrt{5})}$

Cancel the common factor.

$\frac{2 (3 \sqrt{15})}{2 \sqrt{5}}$

Rewrite the expression.

$\frac{3 \sqrt{15}}{\sqrt{5}}$

Step 3

Combine $\sqrt{15}$ and $\sqrt{5}$ into a single radical.

$3 \sqrt{\frac{15}{5}}$

Step 4

Divide $15$ by $5$ .

$3 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{3}$

Decimal Form:

$5.19615242 \dots$