document.write( "Question 549120: What is the simplified value of 5 divided by the square root of 2 \n" ); document.write( "
Algebra.Com's Answer #357474 by Edwin McCravy(20054)\"\" \"About 
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What is the simplified value of \"5%2Fsqrt%282%29\".
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document.write( "The idea is to get it in a form that has no square root in the\r\n" );
document.write( "denominator.\r\n" );
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document.write( "To get it that way we make the number under the radical become a\r\n" );
document.write( "perfect square.  The smallest perfect square we can make 2 into\r\n" );
document.write( "by multiplying is 4. So to make the denominator become \"sqrt%284%29\"\r\n" );
document.write( "instead of \"sqrt%282%29\" we multiply the whole fraction by the \"unit\"\r\n" );
document.write( "fraction \"sqrt%282%29%2Fsqrt%282%29\" [it's a \"unit\" fraction because it\r\n" );
document.write( "equals 1.]\r\n" );
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document.write( "\"5%2Fsqrt%282%29\"×\"sqrt%282%29%2Fsqrt%282%29\"\r\n" );
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document.write( "Multiplying tops and bottoms (bottoms under the radicals)\r\n" );
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document.write( "\"%285sqrt%282%29%29%2Fsqrt%284%29\"\r\n" );
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document.write( "Then the square root of 4 is just 2 so the final answer is\r\n" );
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document.write( "\"%285sqrt%282%29%29%2F2\"\r\n" );
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document.write( "and there is no square root in the denominator.\r\n" );
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document.write( "Edwin
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