Simplify ( square root of 20)/2

$\frac{\sqrt{20}}{2}$

Step 1

Simplify the numerator.

Rewrite $20$ as $2^{2} \cdot 5$ .

Factor $4$ out of $20$ .

$\frac{\sqrt{4 (5)}}{2}$

Rewrite $4$ as $2^{2}$ .

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

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

Pull terms out from under the radical.

$\frac{2 \sqrt{5}}{2}$

$\frac{2 \sqrt{5}}{2}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 \sqrt{5}}{2}$

Divide $\sqrt{5}$ by $1$ .

$\sqrt{5}$

$\sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$

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