How do you simplify $\sqrt{\frac{1}{81}}$ $sqrt(1/81)$ ?

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Answer 1 · 2016-03-05T19:14:47

$\frac{1}{9}$ $1/9$

You should know that $81 = 9^{2}$ $81=9^2$

So you have :

$\sqrt{\frac{1^{2}}{9^{2}}}$ $sqrt(1^2/9^2)$

the $\sqrt{}$ $sqrt$ function divides the exponents by two:

so you have:

$\frac{1^{\frac{2}{2}}}{9^{\frac{2}{2}}} = \frac{1}{9}$ $1^(2/2)/9^(2/2)=1/9$

How do you simplify √181sqrt(1/81)?