Find the Exact Value square root of (1,350)/600

$\sqrt{\frac{1350}{600}}$

Cancel the common factor of $1350$ and $600$ .

Factor $150$ out of $1350$ .

$\sqrt{\frac{150 (9)}{600}}$

Cancel the common factors.

Factor $150$ out of $600$ .

$\sqrt{\frac{150 \cdot 9}{150 \cdot 4}}$

Cancel the common factor.

$\sqrt{\frac{150 \cdot 9}{150 \cdot 4}}$

Rewrite the expression.

$\sqrt{\frac{9}{4}}$

Rewrite $\sqrt{\frac{9}{4}}$ as $\frac{\sqrt{9}}{\sqrt{4}}$ .

$\frac{\sqrt{9}}{\sqrt{4}}$

Simplify the numerator.

Rewrite $9$ as $3^{2}$ .

$\frac{\sqrt{3^{2}}}{\sqrt{4}}$

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

$\frac{3}{\sqrt{4}}$

Simplify the denominator.

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

$\frac{3}{\sqrt{2^{2}}}$

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

$\frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$