document.write( "Question 175628: Find the absolute value.\r
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Algebra.Com's Answer #130726 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Since $\"3-i\"$ is in $\"a%2Bbi\"$ form, we can see that $\"a=3\"$ and $\"b=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"abs%28a%2Bbi%29=sqrt%28a%5E2%2Bb%5E2%29\"$ Start with the absolute value of a complex number formula.\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%283-i%29=sqrt%28%283%29%5E2%2B%28-1%29%5E2%29\"$ Plug in $\"a=3\"$ and $\"b=-1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%283-i%29=sqrt%289%2B%28-1%29%5E2%29\"$ Square $\"3\"$ to get $\"9\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%283-i%29=sqrt%289%2B1%29\"$ Square $\"-1\"$ to get $\"1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%283-i%29=sqrt%2810%29\"$ Add.\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%283-i%29=3.162\"$ Approximate (this step may be optional)\r
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\n" ); document.write( "\n" ); document.write( "Since $\"-2%2B3i\"$ is in $\"a%2Bbi\"$ form, we can see that $\"a=-2\"$ and $\"b=3\"$ \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"abs%28a%2Bbi%29=sqrt%28a%5E2%2Bb%5E2%29\"$ Start with the absolute value of a complex number formula.\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%28-2%2B3i%29=sqrt%28%28-2%29%5E2%2B%283%29%5E2%29\"$ Plug in $\"a=-2\"$ and $\"b=3\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%28-2%2B3i%29=sqrt%284%2B%283%29%5E2%29\"$ Square $\"-2\"$ to get $\"4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%28-2%2B3i%29=sqrt%284%2B9%29\"$ Square $\"3\"$ to get $\"9\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%28-2%2B3i%29=sqrt%2813%29\"$ Add.\r
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\n" ); document.write( "\n" ); document.write( " $\"abs%28-2%2B3i%29=3.606\"$ Approximate
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