What steps do I need to take to simplify $\frac{1}{\frac{1}{\sqrt{2}}}$ to $\frac{\sqrt{2}}{1}$? Can you please explain the steps i need to take in this problem and explain generally how to remove fractions from the denominator.
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There exists a sentence:" A term can be divided by a fraction by multiplying the term by the reciprocal of the fraction." Do you know it ? – callculus42 Aug 17 '15 at 18:17
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@calculus no I'm sorry I don't know that sentence. – BrainLikeADullPencil Aug 17 '15 at 18:25
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It means the same what Michael Dyrud has demonstrated in his answer. As you marked it with a checkmark it seems that you have understood it. – callculus42 Aug 17 '15 at 18:27
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It turns out that division is the same as multiplying something by its reciprocal. In this case, $\frac{1}{\frac{1}{\sqrt{2}}}=1\cdot\frac{\sqrt{2}}{1}=\sqrt{2}$, as desired. In general, to divide by a fraction, just multiply by the reciprocal.
Michael Dyrud
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