### Factoring numbers with square root terms

2013-07-30

Quite often, when doing calculations on polyhedra, you will find yourself with complex equations like $\frac{20+7\sqrt3}{1+2\sqrt3}$.

Is the top evenly divisible by the bottom? I certainly can’t tell just by looking at them.

There must be a method to factor the numerator.

### sqr(A+B*sqr(C))

2013-07-27

Lately, I have been doing a lot of math involving square roots of numbers added to square roots, in the form of $\sqrt{A+B\sqrt{C}}$, this is called a “nested radical.” Normally, you would not be able to simplify any further, unless there was a common factor …Read the Rest

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