Question

HELP

Answer 1

\[4\sqrt{5}- 6\sqrt{3}+8\sqrt{5}\]

Answer 2

SIMPLIFY

Answer 3

You have 4 root 5s and then another 8 root 5s so together you have 12 root 5s

\[4\sqrt{5} - 6\sqrt{3} + 8\sqrt{5} = 12\sqrt{5} - 6\sqrt{3}\]

Answer 4

Right off the bat, I would combine the \[4\sqrt{5}+ 8\sqrt{5}\] to get \[12\sqrt{5}\]
There may be some more obscure methods that can be used here though, like changing the square root by combining the coefficient with it, but I'll get back to you on that since it's a somewhat long process for me. An example would be to combine the \[12\sqrt{5}\] components to get something like \[6\sqrt{20}\] since you can reverse the process of how we normally simplify square roots by putting more under it according to the coefficient. It's hard for me to put in words, so I hope that the message went through. Also, Hunus got the basic idea down as well.