Divide ( square root of 200)÷( square root of 5)

$\sqrt{200} \div \sqrt{5}$

Rewrite the division as a fraction.

$\frac{\sqrt{200}}{\sqrt{5}}$

Combine $\sqrt{200}$ and $\sqrt{5}$ into a single radical.

$\sqrt{\frac{200}{5}}$

Divide $200$ by $5$ .

$\sqrt{40}$

Rewrite $40$ as $2^{2} \cdot 10$ .

Factor $4$ out of $40$ .

$\sqrt{4 (10)}$

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 10}$

Pull terms out from under the radical.

$2 \sqrt{10}$

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{10}$

Decimal Form:

$6.32455532 \dots$