Evaluate square root of 18/50

$\sqrt{\frac{18}{50}}$

Step 1

Cancel the common factor of $18$ and $50$ .

Factor $2$ out of $18$ .

$\sqrt{\frac{2 (9)}{50}}$

Cancel the common factors.

Factor $2$ out of $50$ .

$\sqrt{\frac{2 \cdot 9}{2 \cdot 25}}$

Cancel the common factor.

$\sqrt{\frac{2 \cdot 9}{2 \cdot 25}}$

Rewrite the expression.

$\sqrt{\frac{9}{25}}$

Step 2

Rewrite $\sqrt{\frac{9}{25}}$ as $\frac{\sqrt{9}}{\sqrt{25}}$ .

$\frac{\sqrt{9}}{\sqrt{25}}$

Step 3

Simplify the numerator.

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

$\frac{\sqrt{3^{2}}}{\sqrt{25}}$

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

$\frac{3}{\sqrt{25}}$

Step 4

Simplify the denominator.

Rewrite $25$ as $5^{2}$ .

$\frac{3}{\sqrt{5^{2}}}$

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

$\frac{3}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{5}$

Decimal Form:

$0.6$