Simplify ( square root of 28)/2

$\frac{\sqrt{28}}{2}$

Step 1

Simplify the numerator.

Rewrite $28$ as $2^{2} \cdot 7$ .

Factor $4$ out of $28$ .

$\frac{\sqrt{4 (7)}}{2}$

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

$\frac{\sqrt{2^{2} \cdot 7}}{2}$

$\frac{\sqrt{2^{2} \cdot 7}}{2}$

Pull terms out from under the radical.

$\frac{2 \sqrt{7}}{2}$

$\frac{2 \sqrt{7}}{2}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 \sqrt{7}}{2}$

Divide $\sqrt{7}$ by $1$ .

$\sqrt{7}$

$\sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{7}$

Decimal Form:

$2.64575131 \dots$

Related Questions