document.write( "Question 969387: sir what is the root of 5+2*root 6
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Algebra.Com's Answer #853964 by greenestamps(13325) $\"\"$ $\"About$

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\n" ); document.write( "Consider this:

\n" ); document.write( " $\"%28sqrt%28x%29%2Bsqrt%28y%29%29%5E2=%28x%2By%29%2B2sqrt%28xy%29\"$

\n" ); document.write( "In the form on the right, the rational part is the sum of two integers and the expression under the radical is the product of those two integers, and there is a multiplier \"2\" outside the radical.

\n" ); document.write( "In your problem, you are to find

\n" ); document.write( " $\"sqrt%285%2A2sqrt%286%29%29\"$

\n" ); document.write( "This is in the form of the pattern above: 5 is the sum of 2 and 3; 6 is the product of 2 and 3; and the radical has a multiplier \"2\". So the problem fits the pattern:

\n" ); document.write( " $\"sqrt%285%2B2sqrt%286%29%29=sqrt%283%29%2Bsqrt%282%29\"$

\n" ); document.write( "Here are a couple of random examples to help you see the pattern:

\n" ); document.write( " $\"sqrt%2817%2B2sqrt%2870%29%29=sqrt%2810%29%2Bsqrt%287%29\"$ [17 is 10+7; 70 is 10*7]

\n" ); document.write( " $\"sqrt%289%2B2sqrt%2814%29%29=sqrt%287%29%2Bsqrt%282%29\"$ [9 is 7+2; 14 is 7*2]

\n" ); document.write( "ANSWER: $\"sqrt%285%2B2sqrt%286%29%29=sqrt%283%29%2Bsqrt%282%29\"$

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