Question

What is the simplest form of the radical expression?

Answer 1

\[3\sqrt {24}-2\sqrt{54}+2\sqrt{18}\]

Answer 2

Sqrt(24) = 2sqrt(6)
Sqrt(54) = 3sqrt(6)
Sqrt(18) = 3sqrt(2)

Answer 3

so \(5 \sqrt {6}-5\sqrt{6}+5\sqrt{2}\)?

Answer 4

And then...

Answer 5

which would just cancel and leave us with \(5\sqrt{2}\)

Answer 6

correct @swagmaster47?

Answer 7

I'm pretty sure!

Answer 8

Okay, thank you!

Answer 9

I am sorry to bug you @SolomonZelman, but I was wondering if you could check this....I am trying to keep my 4.0 so I need to get a good grade on this :) thank you!

Answer 10

I can just plug this into my calculator to double check

Answer 11

okay. thanks!

Answer 12

Nope 6sqrt(2

Answer 13

how 6?

Answer 14

Because when that 3 came out it was \[3*2\sqrt(2\]

Answer 15

This is super confusing :(

Answer 16

And my calculator agrees!

Answer 17

oh! so the other ones would actually be \(6\sqrt{6} -6\sqrt{6}+6\sqrt{2}\)

and leaves us with \(6\sqrt{2}\)