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.Com
Question 713376: Express each complex number in the form a + bi
1)
2)
3)
4)
5) 4(3+4i) - 5i(1+i)
6)
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)   (Show Source): You can put this solution on YOUR website!
Express each complex number in the form a + bi
1)
No i term.
---------------
2)
Use FOIL as usual
=
=
= 5 - 12i
-------------
3)
Multiply NUM and DEN by the conjugate of the DEN (4+7i)
=
=
Same as #3
-----------------
5) 4(3+4i) - 5i(1+i)
Simple
-----------
6)
=
=
= -i

RELATED QUESTIONS

Write the following equations in standard form. 2i+(sqrt-1)+4... (answered by Boreal)
2+2 sqrt(3)+2i-2i sqrt(3) express in a + bi... (answered by MathLover1)
evaluate and simplify in a+bi form (4+ i sqrt 3) + (2- 2i sqrt 3) Thanks... (answered by jim_thompson5910,stanbon)
(3-71)(3+7i) (2-2i)(2+2i) (7-10i)(7+10i) (2+5i)(2-5i) (4+3i)(1-i) (5-7i)(1+2i)... (answered by ewatrrr)
Put in simplest radical form: {{{(2+ sqrt(-12))(-3-sqrt(-75))}}} my work: break... (answered by mananth)
Multiply (2-... (answered by josmiceli)
I need to find the answer to the sqrt of -8 ( sqrt -3 - sqrt 5) ugh. I got i sqrt 8 (i... (answered by addingup,MathTherapy)
Write each expression in the form a + bi. 1. 2i(i^(-3)) 2. 2i(i^(-3)) รท... (answered by MathLover1)
Can someone PLEASE help me with these problem? THANK YOU! 1) Divide:... (answered by solver91311)