document.write( "Question 167724: Simplify:
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Algebra.Com's Answer #123637 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"sqrt%28121x%5E12y%5E16z%5E6%29\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%2811%5E2x%5E12y%5E16z%5E6%29\"$ Rewrite $\"121\"$ as $\"11%5E2\"$ . \r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%2811%5E2%28x%5E6%29y%5E16z%5E6%29\"$ Rewrite $\"x%5E12\"$ as $\"%28x%5E6%29%5E2\"$ . \r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%2811%5E2%28x%5E6%29%28y%5E8%29%5E2z%5E6%29\"$ Rewrite $\"y%5E16\"$ as $\"%28y%5E8%29%5E2\"$ . \r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%2811%5E2%28x%5E6%29%5E2%28y%5E8%29%5E2%28z%5E3%29%5E2%29\"$ Rewrite $\"z%5E6\"$ as $\"%28z%5E3%29%5E2\"$ . \r
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Break up the square root.\r
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\n" ); document.write( "\n" ); document.write( " $\"11x%5E6y%5E8z%5E3\"$ Take the square root of the squares to eliminate the squares. In other words, $\"sqrt%28x%5E2%29=x\"$ \r
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\n" ); document.write( "\n" ); document.write( "So $\"sqrt%28121x%5E12y%5E16z%5E6%29=11x%5E6y%5E8z%5E3\"$ where every variable is positive \n" ); document.write( "

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