SOLUTION: what is the answer of this questions:
1.) (-3-3√3)^2
2.) 5 ÷i
3.) 1÷(2i-3)
4.)(3+2i÷(2-i)
5.) (3+ 2i) ÷ 4
6.) 1 ÷ ( 3+ √-2)
Algebra.Com
Question 666452: what is the answer of this questions:
1.) (-3-3√3)^2
2.) 5 ÷i
3.) 1÷(2i-3)
4.)(3+2i÷(2-i)
5.) (3+ 2i) ÷ 4
6.) 1 ÷ ( 3+ √-2)
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
1) (-3-3sqrt(3))^2 = (-3)^2*(1+sqrt(3))^2 = 9*(1+2*sqrt(3) +3) = 18*(2+sqrt(3))
2) 5/i = 5*i/i*i = 5i/(-1) = -5i
3) 1/(2i-3) = (2i+3)/((2i-3)*(2i+3)) = (2i+3)/(-4+2i-2i-9) = (2i+3)/(-13) = -3/13 - (2/13)i
4) 3+(2i)/(2-i) = 3+(2i)(2+i)/(2-i)(2+i) = 3 + 2i(2+i)/5 = 3+(4i-2)/5 = (13+4i)/5 = 13/5 + (4/5)i
5) (3+2i)/4 = 3/4 + i/2
6) 1/(3+sqrt(-2)) = 1/(3+i*sqrt(2)) = (3-i*sqrt(2))/((3+i*sqrt(2))*(3-i*sqrt(2))) = (3-i*sqrt(2))/(9+2) = 3/11 - i*(sqrt(2))/11
RELATED QUESTIONS
what is the answer of this questions:
1.) (-3-3√3)^2
2.) 5 ÷i
3.) 1÷(2i-3)
(answered by swincher4391)
1.(-4+2i)+(6-3i)
2.6√-12
3.√-8*√-32
4.i^65... (answered by stanbon)
1.(-4+2i)+(6-3i)
2.6√-12
3.√-8*√-32
4.i^65... (answered by Alan3354)
-3+i over 5+2i + (2+2i)
(answered by Alan3354)
2(3-2i)+... (answered by stanbon)
I'm on algebra 2 and need help with my work please. It says find the value of the complex (answered by richwmiller)
4-2i ÷ 3+i
-5-3i ÷... (answered by Mathtut)
Please help!
I have to simplify 1. (3+2i)+ (-5-3i)
2. (6-3i) - (2+i)
3. (3+i)(3-i)
4. (answered by stanbon)
(3-2i) (2+3i) / (1+2i)... (answered by It is costly)