document.write( "Question 70652: 3+sqrt-25 divided by 4-sqrt-64 \n" ); document.write( "

Algebra.Com's Answer #50533 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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3+sqrt-25 divided by 4-sqrt-64
\n" ); document.write( ":
\n" ); document.write( " $\"%283%2Bsqrt%28-25%29%29%2F%284-sqrt%28-64%29%29\"$
\n" ); document.write( ":
\n" ); document.write( " $\"%283%2Bsqrt%2825%2A-1%29%29%2F%284-sqrt%2864%2A-1%29%29\"$
\n" ); document.write( "When have a sqrt of a negative, you must use \"i\" which is defined as the Sqrt(-1)
\n" ); document.write( "Find the square roots of 25 and 64 and -1 and you have:
\n" ); document.write( ":
\n" ); document.write( " $\"%283+%2B+5i%29%2F%284+-+8i%29\"$
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\n" ); document.write( "They generally do not want \"i\" in the denominator so we multiply (4 - 8i) by it's
\n" ); document.write( "conjugate which is (4 + 8i); any number over itself is 1 so:
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\n" ); document.write( " $\"%283+%2B+5i%29%2F%284+-+8i%29\"$ = $\"%284+%2B+8i%29%2F%284+%2B+8i%29\"$ = $\"%2812+%2B+24i+%2B+20i+%2B+40i%5E2%29%2F+%2816+%2B+32i+-+32i+%2B+64i%5E2%29\"$ = $\"%2812+%2B+44i+%2B+40%28-1%29%29%2F+%2816+-+64%28-1%29%29\"$ = $\"%2812+%2B+44i+-+40%29%2F%2816+%2B+64%29%29\"$ = $\"%28-28+%2B+44i%29%2F80\"$
\n" ); document.write( "We can reduce the fraction (divide by 4) to $\"%28-7+%2B+11i%29%2F20\"$
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