Question

8/3 sqrt 2

Answer 1

@TheSmartOne

Answer 2

hello, what do we need to do with 8/3 sqrt 2?

Answer 3

Simplify it.

Answer 4

You need to multiply the top and bottom of the equation by the bottom.

Answer 5

This is the screenshot

Answer 6

ah, that makes more sense now

Answer 7

we need to multiply the numerator and denominator by the conjugate of 3 + sqrt 2

Answer 8

do you know what the conjugate of 3 + sqrt 2 is?

Answer 9

Could you explain once you figure it out? I want to understand it.

Answer 10

3- sqrt 2

Answer 11

Sorry I didn't see you replied yet lol

Answer 12

that is the conjugate indeed

we need to multiply by the conjugate so we can rationalize the fraction. we don't like having square roots in the denominator, but we are fine with them being in the numerator :)

Answer 13

The top is 24-8 sqrt 2

Answer 14

and to do the bottom, remember:

(a+b)(a-b) = a^2 - b^2

Answer 15

The bottom is 7 because 3+sqrt2(3-sqrt 2) 9-2=7 answer is c?

Answer 16

yes, the denominator is 7

but look carefully at the numerator. you said the numerator should be 24 - 8 sqrt 2

so how can it be C?

Answer 17

That's what it says though...

Answer 18

oh my bad, I confused C with D

yes, it is C

Answer 19

Okay thank you!!!!!

Answer 20

Anytime! :)