document.write( "Question 1021320: Hello, I am having trouble with absolute value of complex numbers. I have 5 complex numbers and need to figure out which one has the greatest absolute value. 1)-2+i sqrt(10) 2)3- i sqrt (5) 3) - sqrt(9)-2i (I think this answer is sqrt (13) 4) 2+3i (I think this answer is also sqrt (13) and 5)sqrt (6)-3i I appreciate any help anyone can give me! \n" ); document.write( "

Algebra.Com's Answer #637096 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
For a complex number, $\"Z=a%2Bbi\"$ , the magnitude is,
\n" ); document.write( " $\"abs%28Z%29=sqrt%28a%5E2%2Bb%5E2%29\"$
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\n" ); document.write( "( $\"-2\"$ , $\"sqrt%2810%29\"$ ): $\"abs%28Z%29=sqrt%28%28-2%29%5E2%2B%28sqrt%2810%29%29%5E2%29=sqrt%284%2B10%29=sqrt%2814%29\"$
\n" ); document.write( "( $\"3\"$ , $\"-sqrt%285%29\"$ ): $\"abs%28Z%29=sqrt%28%283%29%5E2%2B%28-sqrt%285%29%29%5E2%29=sqrt%289%2B5%29=sqrt%2814%29\"$
\n" ); document.write( "( $\"-sqrt%289%29\"$ , $\"-2\"$ ): $\"abs%28Z%29=sqrt%28%28-sqrt%289%29%29%5E2%2B%28-2%29%5E2%29=sqrt%289%2B4%29=sqrt%2813%29\"$
\n" ); document.write( "( $\"2\"$ , $\"3\"$ ): $\"abs%28Z%29=sqrt%28%282%29%5E2%2B%283%29%5E2%29=sqrt%284%2B9%29=sqrt%2813%29\"$
\n" ); document.write( "( $\"sqrt%286%29\"$ , $\"-3\"$ ): $\"abs%28Z%29=sqrt%28%28sqrt%286%29%29%5E2%2B%28-3%29%5E2%29=sqrt%286%2B9%29=sqrt%2815%29\"$
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