document.write( "Question 67188This question is from textbook Algebra 2
\n" ); document.write( ": How do I solve (square root of 3 over 2+3i)2
\n" ); document.write( "the 2 outside the () is a square
\n" ); document.write( "thank you \n" ); document.write( "

Algebra.Com's Answer #47783 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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How do I solve (square root of 3 over 2+3i)2
\n" ); document.write( "the 2 outside the () is a square
\n" ); document.write( ":
\n" ); document.write( " $\"%28SqRt%283%2F%282%2B3i%29%29%29%5E2\"$
\n" ); document.write( ":
\n" ); document.write( "When you square, a square root, you have effectively eliminate both;
\n" ); document.write( "In this problem you end up with just:
\n" ); document.write( " $\"3%2F%282%2B3i%29\"$
\n" ); document.write( ":
\n" ); document.write( "It's not an equation so you can really \"solve it\"
\n" ); document.write( ":
\n" ); document.write( "you can get rid of \"i\" in the denominator, mult it by the conjugate: 2-3i/2-3i
\n" ); document.write( ":
\n" ); document.write( " $\"3%2F%282%2B3i%29\"$ * $\"%282-3i%29%2F%282-3i%29\"$ = $\"%283%282-3i%29%29%2F%284+-+9i%5E2%29\"$ = $\"%286-9i%29%2F%284-9%28-1%29%29\"$ = $\"%286-9i%29%2F%284%2B9%29\"$ = $\"%286-9i%29%2F13\"$ \n" ); document.write( "

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