SOLUTION: Express each complex number in the form a + bi 1) {{{ sqrt(-12)-sqrt(-48) }}} 2) {{{ (3-2i)^2 }}} 3) {{{ 1/(4-7i) }}} 4) {{{ (sqrt(3)+2i)/(sqrt(3)-2i) }}} 5) 4(3+4i) - 5i(1+i)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Express each complex number in the form a + bi 1) {{{ sqrt(-12)-sqrt(-48) }}} 2) {{{ (3-2i)^2 }}} 3) {{{ 1/(4-7i) }}} 4) {{{ (sqrt(3)+2i)/(sqrt(3)-2i) }}} 5) 4(3+4i) - 5i(1+i)      Log On


   



Question 713376: Express each complex number in the form a + bi
1) +sqrt%28-12%29-sqrt%28-48%29+
2) +%283-2i%29%5E2+
3) +1%2F%284-7i%29+
4) +%28sqrt%283%29%2B2i%29%2F%28sqrt%283%29-2i%29+
5) 4(3+4i) - 5i(1+i)
6) +i%5E23+
Even if you could just answer one question to give me an idea oh how to do the rest, it will be appreciated. They just all seem so different so I put them all up. Thank you!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Express each complex number in the form a + bi
1) +sqrt%28-12%29-sqrt%28-48%29+
No i term.
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2) +%283-2i%29%5E2+
Use FOIL as usual
= 3%5E2+-+12i+%2B+4i%5E2
= 9+-+12i+-+4
= 5 - 12i
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3) +1%2F%284-7i%29+
Multiply NUM and DEN by the conjugate of the DEN (4+7i)
= %284%2B7i%29%2F%284%5E2+-+%287i%29%5E2%29
=
Same as #3
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5) 4(3+4i) - 5i(1+i)
Simple
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6) +i%5E23+
= i%5E20%2Ai%5E3
= i%5E2%2Ai
= -i