document.write( "Question 87858: I need to solve the following and I know the answer is 8x^3 but I can't seem to figure it out. Please help.\r
\n" ); document.write( "\n" ); document.write( "Square root of 2x multiplied by square root of 32x^5.. THANK YOU! \n" ); document.write( "

Algebra.Com's Answer #63719 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Simplify:
\n" ); document.write( " $\"%28sqrt%282x%29%29%28sqrt%2832x%5E5%29%29\"$ Recall that: $\"%28sqrt%28a%29%29%28sqrt%28b%29%29+=+sqrt%28a%2Ab%29\"$ Apply this to your problem:
\n" ); document.write( " $\"%28sqrt%282x%29%29%28sqrt%2832x%5E5%29%29+=+sqrt%282%2A32%2Ax%2Ax%5E5%29\"$ Simplify.
\n" ); document.write( " $\"sqrt%2864x%5E6%29\"$ Rewrite this as:
\n" ); document.write( " $\"sqrt%288%5E2%2A%28x%5E3%29%5E2%29\"$ Now you can take the square root of the squared quantities out from under the radical, because: $\"sqrt%28a%5E2%29+=+a\"$ so you get:
\n" ); document.write( " $\"8x%5E3\"$ \n" ); document.write( "

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