document.write( "Question 90524: square root 16x^4y^2 \n" ); document.write( "

Algebra.Com's Answer #65693 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"sqrt%2816%2Ax%5E4y%5E2%29\"$ Start with the given expression\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%2816%2Ax%5E2%2Ax%5E2%2Ay%5E2%29\"$ Factor $\"x%5E4y%5E2\"$ into $\"x%5E2%2Ax%5E2%2Ay%5E2\"$
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\n" ); document.write( " $\"sqrt%2816%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28y%5E2%29\"$ 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( " $\"4%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28y%5E2%29\"$ Take the square root of the perfect square 16 to get 4
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\n" ); document.write( " $\"4%2Ax%2Ax%2Ay\"$ Take the square root of the perfect squares $\"x%5E2\"$ and $\"y%5E2\"$ to get $\"x\"$ and $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4%2Ax%5E2y\"$ Multiply the common terms \r
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