Simplify square root of 135

$\sqrt{135}$

Step 1

Rewrite $135$ as $3^{2} \cdot 15$ .

Factor $9$ out of $135$ .

$\sqrt{9 (15)}$

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

$\sqrt{3^{2} \cdot 15}$

$\sqrt{3^{2} \cdot 15}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{15}$

Decimal Form:

$11.61895003 \dots$

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