Question

What is the exact value of the expression 3the square root of 11. + the square root of 6. - 9the square root of 11.?

-5the square root of 17.

-6the square root of 11. + the square root of 6.

-3the square root of 11. + the square root of 6.

-5the square root of 6.

Answer 1

is it\[3\sqrt{11} + \sqrt{6} - 9\sqrt{11}?\]

Answer 2

Yeah

Answer 3

@Crixpack

Answer 4

Tell me what you think about it so I can help you out

Answer 5

I'm confused about it all on this one

Answer 6

I'm gonna help you out a but and rearrange them like this:
\[3\sqrt{11} - 9\sqrt{11} +\sqrt{6}\]

Do you see any way this can be simplified?

Answer 7

Not really

Answer 8

\[\sqrt{11}\] is just a number, think of it like x, so the first two terms are basically

3x - 9x, so what does that give us

Answer 9

-6 @Crixpack

Answer 10

not just -6,

-6 what

Answer 11

-6x

Answer 12

now what?

Answer 13

right, now for our equation its not x, but \[\sqrt{11}\]

Answer 14

so what do we have

Answer 15

do you want me to find the square root of 11?

Answer 16

no

Answer 17

what do you want me to do now?

Answer 18

I just want you to simplify the equation and keep the roots as they are

Answer 19

\[(3\sqrt{11} - 9\sqrt{11}) +\sqrt{6}\]

just simplify the part in the brackets, and keep it in terms of \[\sqrt{11}\]

Answer 20

so is the answer B?

Answer 21

Indeed it is

Answer 22

Awesome! Thanks for helping me figure it out!

Answer 23

No problem :)