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Simplify ( square root of 60)/( square root of 3)

$\frac{\sqrt{60}}{\sqrt{3}}$

Step 1

Combine

$\sqrt{60}$ and

$\sqrt{3}$ into a single radical.

$\sqrt{\frac{60}{3}}$

Step 2

Divide

$60$ by

$3$ .

$\sqrt{20}$

Step 3

Rewrite

$20$ as

$2^{2} \cdot 5$ .

Factor

$4$ out of

$20$ .

$\sqrt{4 (5)}$

Rewrite

$4$ as

$2^{2}$ .

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

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

Step 4

Pull terms out from under the radical.

$2 \sqrt{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{5}$

Decimal Form:

$4.47213595 \dots$

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