Divide (-5 square root of 20)÷( square root of 2)

$- 5 \sqrt{20} \div \sqrt{2}$

Step 1

Rewrite the division as a fraction.

$\frac{- 5 \sqrt{20}}{\sqrt{2}}$

Step 2

Combine $\sqrt{20}$ and $\sqrt{2}$ into a single radical.

$- 5 \sqrt{\frac{20}{2}}$

Step 3

Divide $20$ by $2$ .

$- 5 \sqrt{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 5 \sqrt{10}$

Decimal Form:

$- 15.81138830 \dots$