Question

simplify the quotient. be sure to rationalize the denominator. do not change a decimal, give an exact answer. please show your work.

Answer 1

sqrt (12) over 2-sqrt(3)

Answer 2

Type it using equations!

Answer 3

is it \[\sqrt{12}\times2\sqrt{3}\]

Answer 4

is that a minus?

Answer 5

its a fraction

Answer 6

so sqrt ()12 is on top

Answer 7

okay..

Answer 8

and 2-sqrt(3) is on the bottm

Answer 9

okay1

Answer 10

do you know how i could do a problem like this?

Answer 11

Yes

Answer 12

are you familiar with rationalization?

Answer 13

no, its a new concept to me

Answer 14

Okay so what you have to do is...multiply the numerator and denominator with the conjugate of the denominator.. I will attach a pic wait.

Answer 15

you have options?

Answer 16

nope, its a show your work problem

Answer 17

Okay I am done... I will attach now..

Answer 18

thanks, that helps alot

Answer 19

You can also write it as \[2\sqrt{3}\left( 2 +\sqrt{3}\right)\]

Answer 20

ok, thanks

Answer 21

thanks for the help