Saturday

August 30, 2014

August 30, 2014

Posted by **Emily** on Monday, February 12, 2007 at 8:56am.

You can approximate it or simplify it in terms of (products of) square roots of smaller numbers.

E.g. consider sqrt[117]

The number 177 can be factored:

117 = 9*13

So we have:

sqrt[177] = sqrt[9*13] =

sqrt[9]*sqrt[13] = 3 sqrt[13]

Cases like:

sqrt[a]/sqrt[b]

can be rewritten by multiplying numerator and denominator by sqrt[b]:

sqrt[a]/sqrt[b] =

sqrt[a]*sqrt[b]/(sqrt[b]*sqrt[b]) =

sqrt[a]*sqrt[b]/b

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