document.write( "Question 88643: square root 81x^4 \n" ); document.write( "

Algebra.Com's Answer #64434 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"sqrt%2881%2Ax%5E4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%2881%2Ax%5E2%2Ax%5E2%29\"$ Factor $\"x%5E4\"$ into $\"x%5E2%2Ax%5E2\"$
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\n" ); document.write( " $\"sqrt%2881%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29\"$ Break up the square roots using the identity $\"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29\"$
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\n" ); document.write( " $\"9%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29\"$ Take the square root of the perfect square 81 to get 9
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\n" ); document.write( " $\"9%2Ax%2Ax\"$ Take the square root of the perfect squares $\"x%5E2\"$ to get $\"x\"$
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\n" ); document.write( " $\"9%2Ax%5E2\"$ Multiply the common terms \r
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\n" ); document.write( "\n" ); document.write( "So $\"sqrt%2881%2Ax%5E4%29\"$ simplifies to $\"9%2Ax%5E2\"$ \n" ); document.write( "

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