document.write( "Question 326842: Is √a + √b = √a+b for all values of a and b? \n" ); document.write( "

Algebra.Com's Answer #234051 by Fombitz(32388) $\"\"$ $\"About$

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\n" ); document.write( "Square both sides.
\n" ); document.write( " $\"sqrt%28a%29%2Bsqrt%28b%29=sqrt%28a%2Bb%29\"$
\n" ); document.write( " $\"%28sqrt%28a%29%2Bsqrt%28b%29%29%5E2=a%2Bb\"$
\n" ); document.write( " $\"a%2B2sqrt%28ab%29%2Bb=a%2Bb\"$
\n" ); document.write( " $\"2sqrt%28ab%29=0\"$
\n" ); document.write( " $\"sqrt%28ab%29=0\"$
\n" ); document.write( "Yes, it's true but only when $\"a=0\"$ or $\"b=0\"$ or both.
\n" ); document.write( "So in general, other than those special cases, it does not hold.
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