document.write( "Question 596136: I am working on this practice exercise: $\"4sqrt%285%2F6%29+-+sqrt%283%2F10%29\"$ The book's answer is 17 sqrt30(numerator) with 30 as the denominator. I get the 17, I have the denominator of 30 but I'm not coming up with the sqrt30, part of the numerator. I know I am doing something wrong in my process and would like to know what. Thank you for help! :-) \n" ); document.write( "

Algebra.Com's Answer #377538 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4sqrt%285%2F6%29-sqrt%283%2F10%29\"$ Find the LCD of the fractions, that's 30, and simplify:
\n" ); document.write( " $\"4sqrt%2825%2F30%29-sqrt%289%2F30%29\"$ Take the square root of both numerators.
\n" ); document.write( " $\"4%2A5sqrt%281%2F30%29-3sqrt%281%2F30%29\"$ Simplify.
\n" ); document.write( " $\"20sqrt%281%2F30%29-3sqrt%281%2F30%29\"$ Subtract.
\n" ); document.write( " $\"17sqrt%281%2F30%29\"$ Rationalise the denominator.
\n" ); document.write( " $\"17sqrt%281%2F30%29%28sqrt%2830%2F30%29%29\"$ Simplify.
\n" ); document.write( " $\"17sqrt%2830%29%2F30\"$ \n" ); document.write( "

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