SOLUTION: 8 ----- √8

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Question 139556This question is from textbook
: 8
-----
√8
This question is from textbook

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I suspect you want to simplify this expression, although you didn't bother to specify what you want.
8%2Fsqrt%288%29

Simplest terms requires that there be no radicals in the denominator if possible. So, in order to get rid of the sqrt%288%29 in the denominator, we have to multiply the denominator by sqrt%288%29. Since we aren't allowed to change the value of the fraction in the process of simplification, we can only multiply the fraction by the value 1. So to accomplish both things at the same time, multiply the fraction by 1 in the form of sqrt%288%29%2Fsqrt%288%29. The entire expression becomes:

%288%2Fsqrt%288%29%29%28sqrt%288%29%2Fsqrt%288%29%29

Remember that sqrt%28a%29sqrt%28a%29=a and complete the arithmetic. Remove any like factors from numerator and denominator. Once you have completed that arithmetic, you will still have a sqrt%288%29 to deal with, although it will be in the numerator. Notice that 8=4%2A2. Now we know that sqrt%28ab%29=sqrt%28a%29sqrt%28b%29. So apply that rule to completely simplify sqrt%288%29.