SOLUTION: How do I simplify radical expression assuming that all variable under radicals represent positive numbers?

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Question 139506: How do I simplify radical expression assuming that all variable under radicals represent positive numbers?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Use these rules:

root%28n%2Ca%29%2Aroot%28n%2Cb%29=root%28n%2Cab%29

root%28n%2Ca%29%2Froot%28n%2Cb%29=root%28n%2Ca%2Fb%29

root%282%2Ca%29=sqrt%28a%29, i.e. n=2

If n is even, that is n modulo 2 is 0, then the radicand must be positive if you are restricted to the real numbers.

%28a%2Bsqrt%28b%29%29%28a-sqrt%28b%29%29=a%5E2-b

a%2A1=a, but b%2Fb=1, so if a=p%2Fq then %28p%2Fq%29%28b%2Fb%29=a

a%5E%28n%2Fm%29=root%28m%2Ca%5En%29