document.write( "Question 1127469: If √x+√y=√45 and x and y are positive integers, then what is the value of √x+y? \n" ); document.write( "

Algebra.Com's Answer #743886 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( " If $\"sqrt%28x%29%2Bsqrt%28y%29=sqrt%2845%29+\"$ and $\"x+\"$ and $\"y+\"$ are positive integers, then what is the value of $\"sqrt%28x%29%2By\"$ ? \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%29%2Bsqrt%28y%29=sqrt%2845%29+\"$ ........solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28y%29=3sqrt%285%29+-sqrt%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%28y%29%29%5E2=%283sqrt%285%29+-sqrt%28x%29%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=%283%2Asqrt%285%29%29%5E2+-6%2Asqrt%285%29%2Asqrt%28x%29%2B%28sqrt%28x%29%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=9%2A5+-6%2Asqrt%285%29%2Asqrt%28x%29%2Bx\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+x+-+6%2A+sqrt%285%29%2A+sqrt%28x%29+%2B+45\"$ \r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%29%2By=sqrt%28x%29%2Bx+-+6%2Asqrt%285%29%2Asqrt%28x%29+%2B+45\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28x%29%2By=sqrt%28x%29%281%2Bx+-+6%2Asqrt%285%29+%29+%2B+45\"$ \r
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