SOLUTION: Rationalize the denominator sqrt 16a^4b^6/sqrt 128a^6b^6

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Question 170884This question is from textbook Introductory Algebra
: Rationalize the denominator
sqrt 16a^4b^6/sqrt 128a^6b^6This question is from textbook Introductory Algebra

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2816a%5E4b%5E6%29%2Fsqrt%2864%282%29a%5E6b%5E6%29
:
4a%5E2b%5E3%2F8a%5E3b%5E3sqrt%282%29now multiply top and bottom by sqrt%282%29 and the radical square root 2 will equal 2 which you multiply by 8 in the denominator
:
4sqrt%282%29a%5E2b%5E3%2F16a%5E3b%5E3 we need to cancel out some terms
cross%284%29sqrt%282%29cross%28a%5E2%29cross%28b%5E3%29%2F4cross%2816%29%28a%29cross%28a%5E3%29cross%28b%5E3%29
:
highlight%28sqrt%282%29%2F4a%29