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Disclosure: This is homework, but not part of the homework. This is just something that I do not understand.

$$ x = \sqrt{\frac{5}{3}} $$

$$ x = \frac{\sqrt{15}}{3} $$

Could anyone please explain this to me?

Thanks in advance.

  • 1
    See also this post: http://math.stackexchange.com/questions/47748/fractions-with-radicals-in-the-denominator/47855#478552011-11-13
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    BTw, you can use LaTeX makeup by starting with an \$ and ending with another \$, for instance `$\sqrt{\frac{5}{3}}$` becomes $\sqrt{\frac{5}{3}}$.2011-11-13
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    If you only want to *verify* that the two are the same, (note that both are positive and) square them: $x^2$ in the former is $\displaystyle \frac{5}{3}$ and in the latter is $\displaystyle \frac{15}{9}$ and you probably know how to verify that the two are the same.2011-11-13

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