document.write( "Question 1108428: If sqr(6+4sqr2) = sqrx + sqry, x and y are rational, find x and y \n" ); document.write( "

Algebra.Com's Answer #725276 by math_helper(2461) $\"\"$ $\"About$

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$\"+sqrt%286%2B4sqrt%28%282%29%29%29+=+sqrt%28x%29+%2B+sqrt%28y%29+\"$
\n" ); document.write( "Squaring both sides:
\n" ); document.write( " $\"+++6%2B4%2Asqrt%28%282%29%29++=++x+%2B+2sqrt%28x%29sqrt%28y%29+%2B+y+\"$
\n" ); document.write( " $\"++6%2Bsqrt%2832%29+=++x+%2B+2sqrt%28x%29sqrt%28y%29+%2B+y+\"$
\n" ); document.write( " $\"+4%2B2sqrt%284%2A2%29%2B2+=++x+%2B+2sqrt%28x%29sqrt%28y%29+%2B+y+\"$ \r
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\n" ); document.write( "Ans: x=4, y=2 (or equivalently x=2, y=4)
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