Divide (10 square root of 18)÷2 square root of 9

$10 \sqrt{18} \div 2 \sqrt{9}$

Rewrite the division as a fraction.

$\frac{10 \sqrt{18}}{2 \sqrt{9}}$

Cancel the common factor of $10$ and $2$ .

Factor $2$ out of $10 \sqrt{18}$ .

$\frac{2 (5 \sqrt{18})}{2 \sqrt{9}}$

Cancel the common factors.

Factor $2$ out of $2 \sqrt{9}$ .

$\frac{2 (5 \sqrt{18})}{2 (\sqrt{9})}$

Cancel the common factor.

$\frac{2 (5 \sqrt{18})}{2 \sqrt{9}}$

Rewrite the expression.

$\frac{5 \sqrt{18}}{\sqrt{9}}$

Combine $\sqrt{18}$ and $\sqrt{9}$ into a single radical.

$5 \sqrt{\frac{18}{9}}$

Divide $18$ by $9$ .

$5 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{2}$

Decimal Form:

$7.07106781 \dots$