Question

Rationalize the denominator and simplify.


https://bradley.owschools.com/media/g_alg02_ccss_2014/7/q11174.gif

Answer 1

multiply numerator and denominator by the complement of the denominator
which is 4 sqrt6 + 3 sqrt2

Answer 2

do u know what is called as a conjugate??

Answer 3

or a comliment??

Answer 4

*complement

Answer 5

\[\frac{ 3\sqrt{6}+5\sqrt{2} }{ 4\sqrt{6}-3\sqrt{2} }*\frac{ 4\sqrt{6}+3\sqrt{2} }{ 4\sqrt{6}+3\sqrt{2} }\]
Start here

Answer 6

yes its conjugate

Answer 7

the conjugate has same terms as the original expression but the sign changes

Answer 8

yeah I know what it is.

Answer 9

I know that you multiply both the numerator and denominator with the conjugate of the denominator.

Answer 10

I just don't understand how to get it. Like how to simplify and stuff. I don't know what the numerator nor denominator is.

Answer 11

@VeritasVosLiberabit @i[O_O]i can you guys still help me?

Answer 12

numerator is top of fraction , denominator is bottom

Answer 13

yes

Answer 14

help with what??

Answer 15

a+b has a conjugate a-b

Answer 16

Nr is the top part of ur fraction bro!!Dr is the bottom

Answer 17

@holten try solving the formula that I posted above first. Once you do that I can guide you from there

Answer 18

magic zero in addition
magic one in multiplication
:D the ideal!!

Answer 19

it will be easier if u knew complex number systems!!

Answer 20

@VeritasVosLiberabit okay. Hold on.

Answer 21

@VeritasVosLiberabit I got a negative decimal number

Answer 22

@holten it is more useful if you can show me your steps.

Answer 23

\[3\sqrt{6} +5 \sqrt{2} / 4 \sqrt{6} -3 \sqrt{2} \] it equaled out to 9.520314526 and the other side is the same over the same so that makes it 1.

Answer 24

@VeritasVosLiberabit