Question

what is the exact value of the expression sqrt486- sqrt +sqrt6? simplify if possible

2sqrt2

2sqrt6

6sqrt2

8sqrt6

Answer 1

Could you please write the problem again?
"sqrt486- sqrt +sqrt6"
There is an sqrt with nothing inside.

Answer 2

\[\sqrt{486}-\sqrt{24}+\sqrt{6}\]

Answer 3

24=4*6
So then: sqrt(24)=sqrt(4)*sqrt(6)=2*sqrt(6)
What can we do with the 486?

Answer 4

54=9*6
I think that you can go on by your own.
Give it a try!

Answer 5

\[\sqrt{54*9}-\sqrt{6*4}+\sqrt{6}\]
\[3\sqrt{54}-2\sqrt6+\sqrt6\]

Answer 6

\[6\sqrt{2}\]

Answer 7

\[3\sqrt{54}-2\sqrt{6}+\sqrt{6}=9\sqrt{6}-2\sqrt{6}+\sqrt{6}\]
Agree with that?

Answer 8

yes

Answer 9

So.. What do we get?

Answer 10

\[8\sqrt{6} thank you for your help!\]

Answer 11

You are welcome! Glad to help! :)