# How do you simplify sqrt(1/9)?

May 23, 2016

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

#### Explanation:

Write as:$\text{ } \frac{\sqrt{1}}{\sqrt{9}}$

But $\sqrt{1} = 1$ giving

$\frac{1}{\sqrt{9}}$

Multiply by 1 but in the form of $1 = \frac{\sqrt{9}}{\sqrt{9}}$

$\frac{1}{\sqrt{9}} \times \frac{\sqrt{9}}{\sqrt{9}} \text{ "=" } \frac{\sqrt{9}}{9}$

May 23, 2016

$\frac{\sqrt{1}}{\sqrt{9}} = \pm \frac{1}{3}$

#### Explanation:

To simplify $\text{ } \sqrt{\frac{1}{9}}$

Write the square root in separate form $\frac{\sqrt{1}}{\sqrt{9}}$
$\sqrt{1} = \pm 1$
$\sqrt{9} = \pm 3$

$\frac{\sqrt{1}}{\sqrt{9}} = \pm \frac{1}{3}$