Evaluate ( square root of 135)/( square root of 3)

$\frac{\sqrt{135}}{\sqrt{3}}$

Step 1

Combine $\sqrt{135}$ and $\sqrt{3}$ into a single radical.

$\sqrt{\frac{135}{3}}$

Step 2

Divide $135$ by $3$ .

$\sqrt{45}$

Step 3

Rewrite $45$ as $3^{2} \cdot 5$ .

Factor $9$ out of $45$ .

$\sqrt{9 (5)}$

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

$\sqrt{3^{2} \cdot 5}$

Step 4

Pull terms out from under the radical.

$3 \sqrt{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{5}$

Decimal Form:

$6.70820393 \dots$