Question

Simplify : (4) / (6-2 sqrt6)
A. 1+ (sqrt6 i) / (3)
B. 3+ (sqrt3 i) / (3)
C. 2+ (3 sqrt6 i) / (4)
D. 2- (sqrt6) / (6)
E. none of these

I'm getting 2+ (2 sqrt6) / (3) so E. none of these?

Answer 1

\[\frac{ 4 }{6-2\sqrt{6} }\]

Answer 2

A. \[1+ \frac{ \sqrt{6}i }{ 3 }\]

B. \[3+\frac{ \sqrt{3}i }{ 3 }\]

C. \[2+\frac{ 3\sqrt{6}i }{ 4 }\]

D. \[2-\frac{ \sqrt{6} }{ 6 }\]

Answer 3

i'm getting \[2+ \frac{ 2\sqrt{6} }{ 3 }\]

Answer 4

How did you get that?

Answer 5

hold on that didnt show up well. let me do it under equation.

Answer 6

4(6+2 sqrt6)/(6-2 sqrt6)(6+2 sqrt6)
(24+8 sqrt6)/(36-24)
(24+8 sqrt6)/12
2+ (2 sqrt6) / (3)

Answer 7

there we go.

Answer 8

@alyssa_xo

Answer 9

@Here_to_Help15

Answer 10

@jigglypuff314