Question

Rationalize the denominator and simplify. Could someone explain?
5√3 + 2
-------
√3 + 1

Answer 1

The dotted line means divide

Answer 2

Are you familiar with rationalizing the denominator?

Answer 3

this is so easy:

multiply by a conjugate:
conjugate of sqrt3+1 is sqrt3-1

\[\frac{ 5\sqrt3+2 }{ \sqrt3+1 }=\frac{ 5\sqrt3+2 }{ \sqrt3+1 }*\frac{ \sqrt3-1 }{ \sqrt3-1 }\]

Answer 4

\[=\frac{ (5\sqrt3+2)*(\sqrt3-1) }{ 3-1 }=\frac{ 5*3-5+2\sqrt3-2 }{ 2 }=?\]

Answer 5

woppers

Answer 6

mistake

Answer 7

\[\frac{ 5*3-5\sqrt3+2\sqrt3-2 }{ 2 }=?\]

Answer 8

So I would have to foil it ?

Answer 9

I know the denominator ends up being 2 because the √3 * √3 = 3 and then subtract 1 = 2

Answer 10

@AlexandervonHumboldt2

Answer 11

yeah foil it and simplify

Answer 12

what do I do with the middle numbers? multiply?

Answer 13

in the numerator?

Answer 14

15 - 7√3 - 2 = 13 - 7√2?

Answer 15

nope

-5sqrt3+2sqrt3=-3sqrt3

thus we have that 13-3sqrt3

Answer 16

so it would be 13- 3√3/2

Answer 17

yeah

Answer 18

Ah okay! Thank you so much!