document.write( "Question 210006This question is from textbook Intro Algebra
\n" ); document.write( ": Multiply and then simplify by factoring.\r
\n" ); document.write( "\n" ); document.write( "sqrt(2^109)sqrt(x^306)sqrt(x^11)
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Algebra.Com's Answer #159147 by Earlsdon(6294) $\"\"$ $\"About$

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Multiply then simplify by factoring:
\n" ); document.write( " $\"%28sqrt%282%5E109%29%29%2A%28sqrt%28x%5E306%29%29%2A%28sqrt%28x%5E11%29%29\"$ This can be expressed as:
\n" ); document.write( " $\"sqrt%28%282%5E109%29%2A%28x%5E306%29%2A%28x%5E11%29%29\"$ Multiply the x's by adding their exponents.
\n" ); document.write( " $\"sqrt%28%282%5E109%29%2A%28x%5E317%29%29\"$ and this can be written as:
\n" ); document.write( " $\"sqrt%282%282%5E108%29%2Ax%28x%5E316%29%29\"$
\n" ); document.write( "Now $\"2%5E108+=+%282%5E54%29%5E2\"$ so you can take the square root of $\"sqrt%282%5E108%29+=+2%5E54\"$ and move it out from under the radical sign.
\n" ); document.write( "Similarly with $\"sqrt%28x%5E316%29+=+x%5E158\"$ , so you get:
\n" ); document.write( " $\"2%5E54%2Ax%5E158%2Asqrt%282x%29\"$ \n" ); document.write( "

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