SOLUTION: Divide the square root of 15a over the square root of 3a then simplify by taking roots if possible and assume that all expressions under radicals represent positive numbers.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Divide the square root of 15a over the square root of 3a then simplify by taking roots if possible and assume that all expressions under radicals represent positive numbers.      Log On


   

Question 401446: Divide the square root of 15a over the square root of 3a then simplify by taking roots if possible and assume that all expressions under radicals represent positive numbers.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2815a%29%2Fsqrt%283%29
To simplify this expression we will use a property of radicals, root%28a%2C+p%2Fq%29+=+root%28a%2C+p%29%2Froot%28a%2C+q%29, to combine the fraction of square roots into the square root of a fraction:
sqrt%2815a%2F3%29
we can now reduce the fraction:
sqrt%285a%29
Since there are no perfect square factors in 5a (other than 1), this square root cannot be simplified any further.