SOLUTION: Simplify. {{{sqrt(360)/sqrt(10)}}}. I came up with the {{{sqrt(36)}}}. Is this correct? Thanks, I appreciate your time.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify. {{{sqrt(360)/sqrt(10)}}}. I came up with the {{{sqrt(36)}}}. Is this correct? Thanks, I appreciate your time.      Log On


   

Question 74518: Simplify. sqrt%28360%29%2Fsqrt%2810%29.
I came up with the sqrt%2836%29. Is this correct? Thanks, I appreciate your time.
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28360%29%2Fsqrt%2810%29
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You obviously caught the fact that this can be converted to:
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sqrt%28360%2F10%29 and after dividing by the denominator of 10 this further simplifies
to sqrt%2836%29.
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One more step. What's the square root of 36? It's 6, and that ends the simplification.
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By convention we normally assume that the square root just gives positive answers.
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This final step should complete the problem. Hope that helps you.