document.write( "Question 83940: simplify by combining like terms\r
\n" ); document.write( "\n" ); document.write( "x square root of 18-3 square root of 8x squared \n" ); document.write( "

Algebra.Com's Answer #60420 by tutor_paul(519) $\"\"$ $\"About$

You can put this solution on YOUR website!
I assume this is the problem...
\n" ); document.write( " $\"x%28sqrt%2818%29%29-3sqrt%288x%5E2%29\"$
\n" ); document.write( "Start by pulling what you can out from under each square root sign. To see what can be pulled out, re-write as factors what is under each radical:
\n" ); document.write( " $\"x%28sqrt%282%2A3%2A3%29%29-3sqrt%282%2A2%2A2%2Ax%2Ax%29\"$
\n" ); document.write( "Since you know that in general, sqrt(x^2)=x, you can start simplifying what is under the radicals by \"pulling out\" the proper terms, like this:
\n" ); document.write( " $\"3x%28sqrt%282%29%29-6x%28sqrt%282%29%29\"$
\n" ); document.write( "notice in the first term, I was able to put a 3 outside the radical, since I had 3*3 underneath. Likewise in the second term, I was able to pull out a 2x.
\n" ); document.write( "Simplifying, you get the final answer:
\n" ); document.write( " $\"highlight%28-3x%28sqrt%282%29%29%29\"$
\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( "

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