Evaluate ( square root of 90)/( square root of 5)

$\frac{\sqrt{90}}{\sqrt{5}}$

Step 1

Combine $\sqrt{90}$ and $\sqrt{5}$ into a single radical.

$\sqrt{\frac{90}{5}}$

Step 2

Divide $90$ by $5$ .

$\sqrt{18}$

Step 3

Rewrite $18$ as $3^{2} \cdot 2$ .

Factor $9$ out of $18$ .

$\sqrt{9 (2)}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 2}$

Step 4

Pull terms out from under the radical.

$3 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{2}$

Decimal Form:

$4.24264068 \dots$