SOLUTION: 7 divided by sqaure root 8 minus 8 divided by square root 9

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Question 1064734: 7 divided by sqaure root 8 minus 8 divided by square root 9
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Need a common denominator,

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7%2Fsqrt%288%29-8%2Fsqrt%289%29=%287sqrt%289%29-8sqrt%288%29%29%2Fsqrt%2872%29
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7%2Fsqrt%288%29-8%2Fsqrt%289%29=%287%2A3-8sqrt%288%29%29%2F%283%2Asqrt%288%29%29
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7%2Fsqrt%288%29-8%2Fsqrt%289%29=%2821%2Asqrt%288%29-8%2A8%29%2F%283%2A8%29
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7%2Fsqrt%288%29-8%2Fsqrt%289%29=%2821%2A2%2Asqrt%282%29-64%29%2F%2824%29
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7%2Fsqrt%288%29-8%2Fsqrt%289%29=%2842%2Asqrt%282%29-64%29%2F%2824%29
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7%2Fsqrt%288%29-8%2Fsqrt%289%29=highlight%28%2821%2Asqrt%282%29-32%29%2F%2812%29%29

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
7/(sqrt(8)=7/(2*2sqrt(2)) divided by
8/sqrt(9)=8/3
common denominator is 6 sqrt (2)
7*3-8(2 sqrt (2)=21-16 sqrt (2)
multiply denominator and numerator by sqrt (2) to rationalize
(21 sqrt (2)-32)/12