SOLUTION: Rationalize the denominator {{{sqrt(5/(8x))}}} simplify

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Question 320095: Rationalize the denominator sqrt%285%2F%288x%29%29 simplify
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285%2F%288x%29%29

This is a bit simpler than the other tutor's solution although his
is correct.

The denominator under the radical needs to be multiplied by 
2x in order to become the perfect square 16x%5E2.

So we multiply under the radical by %28%282x%29%2F%282x%29%29 which is
just 1 in disguise and won't change the value.

sqrt%28%0D%0A%285%2F%288x%29%29%0D%0A%28%282x%29%2F%282x%29%29%0D%0A%29%22=%22sqrt%28%2810x%29%2F%2816x%5E2%29%29%22=%22sqrt%2810x%29%2Fsqrt%2816x%5E2%29%22=%22sqrt%2810x%29%2F%284x%29

Edwin