document.write( "Question 1208359: Simplify sqrt{4x^3•9y^5}.\r
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Algebra.Com's Answer #846737 by mccravyedwin(407)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "It's a little longer this way, but maybe you can understand it better\r\n" );
document.write( "this way:\r\n" );
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document.write( "\"sqrt%284x%5E3%2A9y%5E5%29\"\r\n" );
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document.write( "Write what's under the square root as a product of the simplest factors\r\n" );
document.write( "possible:\r\n" );
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document.write( "\"sqrt%282%2A2%2Ax%2Ax%2Ax%2A3%2A3%2Ay%2Ay%2Ay%2Ay%2Ay%29\"\r\n" );
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document.write( "Now group as many pairs of like factors as possible:\r\n" );
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document.write( "\"sqrt%28%282%2A2%29%2A%28x%2Ax%29%2Ax%2A%283%2A3%29%2A%28y%2Ay%29%2A%28y%2Ay%29%2Ay%29%29\" \r\n" );
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document.write( "Now realize that when a pair of like factors are multiplied,\r\n" );
document.write( "that is that factor squared. So write every pair as a square\r\n" );
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document.write( "\"sqrt%28%282%5E2%29%2A%28x%5E2%29%2Ax%2A%283%5E2%29%2A%28y%5E2%29%2A%28y%5E2%29%2Ay%29\" \r\n" );
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document.write( "Now we take the square root of every one of those squares,\r\n" );
document.write( "and since the square root undoes the square we have all\r\n" );
document.write( "those outside the square root, and only the x and the y\r\n" );
document.write( "that didn't pair up have to be left inside the square root:\r\n" );
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document.write( "\"2%2Ax%2A3%2Ay%2Ay%2Asqrt%28x%2Ay%29\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"6xy%5E2%2Asqrt%28xy%29\"\r\n" );
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document.write( "Edwin
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