document.write( "Question 448581: what is the absolute value of 4+7i \n" ); document.write( "
Algebra.Com's Answer #308680 by jim_thompson5910(35256)\"\" \"About 
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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. This is also known as the magnitude of a complex number formula.\r
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\n" ); document.write( "\n" ); document.write( "\"abs%284%2B7i%29=sqrt%28%284%29%5E2%2B%287%29%5E2%29\" Plug in \"a=4\" and \"b=7\".\r
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\n" ); document.write( "\n" ); document.write( "\"abs%284%2B7i%29=sqrt%2816%2B%287%29%5E2%29\" Square \"4\" to get \"16\"\r
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\n" ); document.write( "\n" ); document.write( "\"abs%284%2B7i%29=sqrt%2816%2B49%29\" Square \"7\" to get \"49\"\r
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\n" ); document.write( "\n" ); document.write( "\"abs%284%2B7i%29=sqrt%2865%29\" Add\r
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\n" ); document.write( "\n" ); document.write( "\"abs%284%2B7i%29=8.06225774829855\" Take the square root (this figure is most likely approximate)\r
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\n" ); document.write( "\n" ); document.write( "So the solution is approximately \"abs%284%2B7i%29=8.06225774829855\"
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