document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #284299 by jsmallt9(3758) $\"\"$ $\"About$

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$\"sqrt%2815a%29%2Fsqrt%283%29\"$
\n" ); document.write( "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:
\n" ); document.write( " $\"sqrt%2815a%2F3%29\"$
\n" ); document.write( "we can now reduce the fraction:
\n" ); document.write( " $\"sqrt%285a%29\"$
\n" ); document.write( "Since there are no perfect square factors in 5a (other than 1), this square root cannot be simplified any further. \n" ); document.write( "

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