Question

Rationalize the denominator of 6/(7-3 sqrt6)+(-2+2 sqrt6)

Answer 1

@NewOne

Answer 2

Is it \[\frac{ 6 }{ 7-3\sqrt{6} }+\left( -2+2\sqrt{6} \right)\]

Answer 3

it's all under the 6

Answer 4

sorry. I need to get my math done by tomorrow and I'm worrying haha

Answer 5

Ok what you do first is simplify the denominator as much as you can.

Answer 6

alright

Answer 7

So what do you have as the denominator?

Answer 8

6/5-1sqrt6?

Answer 9

Yup, that's correct. Have you learned conjugates in class?

Answer 10

yes! alright so times by (5+1sqrt6)?

Answer 11

Multiply it into the denominator and numerator.

Answer 12

Then you're done

Answer 13

30+sqrt6/25+sqrt 6...?

Answer 14

30-6sqrt6/31?

Answer 15

Uh.. no
Let's rewrite it so it's more clearer.
\[\frac{ 6 }{ 5-1\sqrt{6}}*\frac{ 5+1\sqrt{6} }{ 5+1\sqrt{6} }\]

Answer 16

Notice you're basically multiplying the fraction by 1

Answer 17

so 30+6√6

Answer 18

is the top

Answer 19

Yup

Answer 20

/19

Answer 21

yes

Answer 22

Whenever you are asked to rationalize, just remember to multiple the conjugate of the denominator to the top and bottom of the fraction