How do you divide #sqrt8/ sqrt24#?

1 Answer
KillerBunny
Mar 30, 2015

You use the fact that the fraction of two square root is the square root of the fraction, i.e.: #\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}#. So, in your case, you have
#\frac{\sqrt{8}}{\sqrt{24}}=\sqrt{\frac{8}{24}}=\sqrt{\frac{1}{3}}#.

If you want to write it in a different form, divide and multiply by #sqrt(3)# to get #\sqrt{\frac{1}{3}}=\frac{\sqrt(3)}{3}#

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