Simplify ( square root of 54)/( square root of 3)

$\frac{\sqrt{54}}{\sqrt{3}}$

Step 1

Combine $\sqrt{54}$ and $\sqrt{3}$ into a single radical.

$\sqrt{\frac{54}{3}}$

Step 2

Divide $54$ by $3$ .

$\sqrt{18}$

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:

$4.24264068 \dots$