Question

medal for anyone who is right! please help!!
what is the domain of the function y= sqrt 3x+3

Answer 1

@Capnkookcx @lizz123 @LiliaRG

Answer 2

26: simplify by rationalizing the denominator 4sqrt6/sqrt30
27:(2sqrt 5 +3sqrt7)^3

Answer 3

Well, the domain is the input. So, can you think of any input to that function that would cause a problem?

Answer 4

im not sure if its negative or posative

Answer 5

And is that \(y= \sqrt {3x+3}\) ?

Answer 6

yes

Answer 7

is it x>=-1?

Answer 8

Yah, you are just doing the end result.

Answer 9

ok so i was correct?

Answer 10

Yes.

Answer 11

awesome :) could you help me with the other 2 please :)

Answer 12

Do you know what rationalizing means?

Answer 13

kinda, not really, could you explain it to me?

Answer 14

Well, when you have any sort of a fraction with variables, roots, etc. you try to get it into a form where all the odd stuff is on the top or on the bottom. With roots, they generally want all of it on the top.

So you multiply by what is needed to move things to the top.

Answer 15

\(\dfrac{\sqrt{a}}{\sqrt{b}}\)

In that example, you would want to get the \(\sqrt{b}\) to the top.

\(\dfrac{\sqrt{a}}{\sqrt{b}}\cdot \dfrac{\sqrt{b}}{\sqrt{b}}\)

\(\dfrac{\sqrt{ab}}{\sqrt{bb}}\)

\(\dfrac{\sqrt{ab}}{b}\)

Answer 16

ok

Answer 17

So you need to do something like that to the \(\dfrac{4\sqrt{6}}{\sqrt{30}}\)

Answer 18

times sqrt30 to both sides?

Answer 19

Yes. Then simplify it.

Answer 20

so i have sqrt 4 sqrt 6 sqrt30/sqrt 30 sqrt 30

Answer 21

\(\dfrac{4\sqrt{6}}{\sqrt{30}}\cdot \dfrac{\sqrt{30}}{\sqrt{30}}\)

\(\dfrac{4\sqrt{6}\cdot\sqrt{30}}{\sqrt{30}\cdot\sqrt{30}}\)

Yah, that. Then simplify it.

Answer 22

im not sure how to smiplify it

Answer 23

@e.mccormick

Answer 24

Well, do you know how to multiply roots?

Answer 25

well from 2sqrt6 *sqrt 30 is where im stuck

Answer 26

is it 12sqrt5/30?