document.write( "Question 31973: 10 / (3-i2)\r
\n" ); document.write( "\n" ); document.write( "(10 divided by 3-i2) \n" ); document.write( "

Algebra.Com's Answer #19069 by mukhopadhyay(490) $\"\"$ $\"About$

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10/(3-i2)
\n" ); document.write( "Our goal is to eliminate any radical or non-real complex numbers from the denominator. We can do this by multiplying both numerator and denominator of the given expression with (3+i2).
\n" ); document.write( "This gives [10/(3-i2)](3+i2/3+i2)
\n" ); document.write( "= 10(3+2i)/[3^2-(i2)^2]
\n" ); document.write( "= 10(3+2i)/(9+4)
\n" ); document.write( "= 10(3+2i)/13 \n" ); document.write( "

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