Given expression : [tex]4\sqrt6 +2\sqrt6 -\sqrt6[/tex].
We need to simplify it.
We can see we have all like radicals of [tex]\sqrt6[/tex].
So, we can just add or subtract the front numbers of [tex]\sqrt6[/tex].
Adding 4 + 2 we get 6.
Therefore, [tex]4\sqrt6 +2\sqrt6 = 6\sqrt6[/tex].
Now, [tex]-\sqrt6 = -1\sqrt6[/tex].
Therefore,
[tex]4\sqrt6 +2\sqrt6 -\sqrt6 =6\sqrt6 -1\sqrt6[/tex].
Now, we can subtract 6 -1, we get 5.
[tex]6\sqrt6 -1\sqrt6 = 5 \sqrt6[/tex].
Therefore, correct option is A option: 5√6.
