document.write( "Question 313178: is this relationship correct? why or why not?
\n" ); document.write( "√x+y = √x + √y \n" ); document.write( "

Algebra.Com's Answer #223927 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's check. Let $\"x=y=1\"$ .
\n" ); document.write( " $\"sqrt%281%2B1%29=sqrt%281%29%2Bsqrt%281%29\"$
\n" ); document.write( " $\"sqrt%282%29=1%2B1\"$
\n" ); document.write( " $\"sqrt%282%29=2\"$
\n" ); document.write( "No, that's not true.
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\n" ); document.write( " $\"sqrt%28x%2By%29=sqrt%28x%29%2Bsqrt%28y%29\"$
\n" ); document.write( "Square both sides.
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\n" ); document.write( " $\"x%2By=x%2B2sqrt%28xy%29%2By%29\"$
\n" ); document.write( " $\"2sqrt%28xy%29=0\"$
\n" ); document.write( "So the equation above only holds for certain values of x and y.
\n" ); document.write( "It only holds when $\"x=0\"$ , $\"y=0\"$ , or $\"x=y=0\"$
\n" ); document.write( "Now you see why.
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