document.write( "Question 176969: I need assistance in figuring out the following:\r
\n" ); document.write( "\n" ); document.write( " $\"8sqrt%282%29%28sqrt%288%29-3sqrt%282%29%2B7sqrt%2832%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "I have an algebra test tomorrow and nearly no one in my class really understands the math material we are being tested on, so this would be extremely helpful and I would be veryyyyyyyy grateful for any help! \n" ); document.write( "

Algebra.Com's Answer #132030 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Evaluate:
\n" ); document.write( " $\"%288sqrt%282%29%29%28sqrt%288%29-3sqrt%282%29%2B7sqrt%2832%29%29\"$
\n" ); document.write( "Ok, the key thing here is to get all of the radicands (the numbers inside of the square root symbols) to = 2, if possible. Well, since you know that 8 and 32 are multiples of 2 this is possible. So here we go, step-by-step!
\n" ); document.write( " $\"%288sqrt%282%29%29%28sqrt%284%2A2%29-3sqrt%282%29%2B7sqrt%2816%2A2%29%29\"$
\n" ); document.write( "Now, $\"sqrt%284%29+=+2\"$ so you can move that outside of the radical but leave the 2 inside. And, $\"sqrt%2816%29+=+4\"$ so you can move that outside of the radical leaving the 2 inside:
\n" ); document.write( " $\"%288sqrt%282%29%29%282sqrt%282%29-3sqrt%282%29%2B7%2A4sqrt%282%29%29\"$ Multiply the 7*4 = 28
\n" ); document.write( " $\"%288sqrt%282%29%29%282sqrt%282%29-3sqrt%282%29%2B28sqrt%282%29%29\"$ In the second set of parentheses, collect all of the $\"sqrt%282%29\"$ 's together.
\n" ); document.write( " $\"%288sqrt%282%29%29%2827sqrt%282%29%29\"$ Finally, perform the indicated multiplication, do the numbers first (8*27 = 216) then the radicals ( $\"sqrt%282%29%2Asqrt%282%29+=+2\"$ to get:
\n" ); document.write( " $\"highlight%28216%2A2+=+432%29\"$ \n" ); document.write( "

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