document.write( "Question 310561: square root y+ square root y+7)=(7) \n" ); document.write( "

Algebra.Com's Answer #222124 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%28y%29%2Bsqrt%28y%2B7%29=7\"$
\n" ); document.write( " $\"sqrt%28y%29=7-sqrt%28y%2B7%29\"$
\n" ); document.write( "Square both sides.
\n" ); document.write( " $\"y=49-14sqrt%28y%2B7%29%2B%28y%2B7%29\"$
\n" ); document.write( " $\"0=56-14sqrt%28y%2B7%29\"$
\n" ); document.write( " $\"14sqrt%28y%2B7%29=56\"$
\n" ); document.write( " $\"sqrt%28y%2B7%29=4\"$
\n" ); document.write( " $\"y%2B7=16\"$
\n" ); document.write( " $\"highlight_green%28y=9%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Verify the solution.
\n" ); document.write( " $\"sqrt%28y%29%2Bsqrt%28y%2B7%29=7\"$
\n" ); document.write( " $\"sqrt%289%29%2Bsqrt%289%2B7%29=7\"$
\n" ); document.write( " $\"3%2Bsqrt%2816%29=7\"$
\n" ); document.write( " $\"3%2B4=7\"$
\n" ); document.write( " $\"7=7\"$
\n" ); document.write( "True, then it's a good solution. \n" ); document.write( "

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