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| Math Central | Quandaries & Queries |
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Question from Anoushka, a student: if t=1÷[1-√2(order of surd is 4)] , then t=? |
Hi,
I expect that you know that to eliminate the surd from the denominator of
\[\frac{1}{1- \sqrt3}\]
you multiply the numerator and denominator by $1 + \sqrt3 .$ Try the same technique with
\[\frac{1}{1 - \sqrt[4]2}\]
by multiplying the numerator and denominator by $1 + \sqrt[4]2 .$
Penny
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