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For example: Why is $\sqrt{\dfrac{1}{2}} = \dfrac{1}{2}\sqrt{2}$ ?

How do you solve (simple) roots of fractions? I'm having trouble because I need this for my upcoming trig test but I haven't done algebra in a long, long time..

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    $\frac{\sqrt 2}{2} = \frac{\sqrt 2}{\sqrt 4} = \sqrt \frac{2}{4} = \sqrt \frac{1}{2}$ using the rules (identities) $\frac{\sqrt a}{\sqrt b} = \sqrt \frac{a}{b}$ and $x = \pm \sqrt{x^2}$2012-09-15
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    You can choose a best answer by clicking the check mark next to the answer. It helps a lot!2012-09-16
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    Please pick a best answer.2012-09-18

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