document.write( "Question 1107093: One pair of integers (x.y) solves $\"+sqrt%28+4%2Asqrt%28+7+%29%2B11+%29=y%2Bsqrt%28+x+%29+\"$ , find x*y. \n" ); document.write( "

Algebra.Com's Answer #854021 by MathTherapy(10801) $\"\"$ $\"About$

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document.write( "One pair of integers (x.y) solves , find x*y.\r\n" );
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document.write( "                     ----- Replacing 4 with its PRIME factors, 2 & 2\r\n" );
document.write( "                          ----- Converting 2 to                  \r\n" );
document.write( "                       ---- Changing 11 to 7 + 4             \r\n" );
document.write( "      ---- Converting \r\n" );
document.write( "The above is in the form: , with , and so:\r\n" );
document.write( " then becomes:  \r\n" );
document.write( "                                                                                 ----- Cancelling SQUARE and SQUARE ROOT\r\n" );
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document.write( "√(4√(7+11)) = , is in the form: y + √x, with y = 2, and x = 7. Therefore, x*y = 7(2) = 14.

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