document.write( "Question 1103991: prove |z^2|=|z|^2
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Algebra.Com's Answer #718707 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"z=a%2Bbi\"$
\n" ); document.write( " $\"abs%28z%29=sqrt%28a%5E2%2Bb%5E2%29\"$
\n" ); document.write( " $\"%28abs%28z%29%29%5E2=a%5E2%2Bb%5E2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"z%5E2=%28a%2Bbi%29%28a%2Bbi%29=a%5E2%2Babi%2Babi%2Bb%5E2i%5E2=%28a%5E2-b%5E2%29%2B%282ab%29I\"$
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\n" ); document.write( "So,
\n" ); document.write( " $\"%28abs%28z%29%29%5E2=abs%28z%5E2%29\"$
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