Simplify square root of 7/4

$\sqrt{\frac{7}{4}}$

Step 1

Rewrite $\sqrt{\frac{7}{4}}$ as $\frac{\sqrt{7}}{\sqrt{4}}$ .

$\frac{\sqrt{7}}{\sqrt{4}}$

Step 2

Simplify the denominator.

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

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

Pull terms out from under the radical, assuming positive real numbers.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$1.32287565 \dots$