Evaluate square root of 36/2

$\sqrt{\frac{36}{2}}$

Step 1

Divide $36$ by $2$ .

$\sqrt{18}$

Step 2

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

Factor $9$ out of $18$ .

$\sqrt{9 (2)}$

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

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

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

Step 3

Pull terms out from under the radical.

$3 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{2}$

Decimal Form:

$4.24264068 \dots$

Related Questions