How do you simplify $\sqrt{\frac{1}{9}}$ $sqrt(1/9)$ ?

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How do you simplify $\sqrt{\frac{1}{9}}$ $sqrt(1/9)$ ?

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Answer 1 · 2016-05-23T15:10:31

$\frac{\sqrt{9}}{9}$ $sqrt(9)/9$

Explanation:

Write as: $\frac{\sqrt{1}}{\sqrt{9}}$ $" "sqrt(1)/sqrt(9)$

But $\sqrt{1} = 1$ $sqrt(1)=1$ giving

$\frac{1}{\sqrt{9}}$ $1/sqrt(9)$

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

$\frac{1}{\sqrt{9}} \times \frac{\sqrt{9}}{\sqrt{9}} = \frac{\sqrt{9}}{9}$ $1/sqrt(9)xxsqrt(9)/sqrt(9) " "=" "sqrt(9)/9$

Answer 2 · 2016-05-23T16:07:50

$\frac{\sqrt{1}}{\sqrt{9}} = \pm \frac{1}{3}$ $sqrt(1)/sqrt(9) =+-1/3$

Explanation:

To simplify $\sqrt{\frac{1}{9}}$ $" "sqrt(1/9)$

Write the square root in separate form $\frac{\sqrt{1}}{\sqrt{9}}$ $sqrt(1)/sqrt(9)$
$\sqrt{1} = \pm 1$ $sqrt(1) = +-1$
$\sqrt{9} = \pm 3$ $sqrt(9) = +-3$

$\frac{\sqrt{1}}{\sqrt{9}} = \pm \frac{1}{3}$ $sqrt(1)/sqrt(9) =+-1/3$

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