SOLUTION: I need help with solving this problem. It's rationaling the denominator. Ranicand 56 over radicand 40. Thanks for the help!

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Question 7847: I need help with solving this problem. It's rationaling the denominator. Ranicand 56 over radicand 40. Thanks for the help!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not certain what you mean by "ranicand" but I expect that you meant to write "radicand", so I'll proceed on that basis.
Simplify: sqrt%2856%29%2Fsqrt%2840%29 You can factor the integers under the radical signs.
sqrt%2856%29+=+sqrt%282%2A4%2A7%29 = sqrt%282%29sqrt%284%29sqrt%287%29and,
sqrt%2840%29+=+sqrt%282%2A4%2A5%29 = sqrt%282%29sqrt%284%29sqrt%285%29
So, now we have: %28sqrt%282%29sqrt%284%29sqrt%287%29%29%2Fsqrt%282%29sqrt%284%29sqrt%285%29 Cancelling like factors leaves us with:
sqrt%287%29%2Fsqrt%285%29