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

2sqrt2

2sqrt6

6sqrt2

8sqrt6

Question

what is the exact value of the expression sqrt486- sqrt +sqrt6? simplify if possible

 2sqrt2

 2sqrt6

 6sqrt2

 8sqrt6

anonymous · Answer

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

anonymous · Answer

$$\sqrt{486}-\sqrt{24}+\sqrt{6}$$

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

$$6\sqrt{2}$$

anonymous · Answer

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

anonymous · Answer

yes

anonymous · Answer

So.. What do we get?

anonymous · Answer

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

anonymous · Answer

You are welcome! Glad to help! :)