Question

Find the sum of 2 radical 6 and radical 24.
A.4 square root 6
B.2 square root 30
C.2 square root 6+4 square root 3
i think its B

Answer 1

\[2\sqrt{6}+\sqrt{24}\]

Answer 2

So, why do you think it's B?

Answer 3

cuz dont you add just the roots

Answer 4

Do you agree with this:\[\sqrt{4}\sqrt{6}+\sqrt{24}?\]

Answer 5

What happens when you multiply two radicals?\[\sqrt{4}\sqrt{6}=?\]

Answer 6

dont they just cancel the root

Answer 7

\[\sqrt{4}\sqrt{6}=\sqrt{4\cdot6}=\sqrt{24}.\]Do you see that?

Answer 8

yes i do

Answer 9

What do we have now?\[\sqrt{24}+\sqrt{24}=2\sqrt{24}.\]Am I correct?

Answer 10

yes

Answer 11

What about this?\[2\sqrt{4\cdot6}=2\sqrt{4}\sqrt{6}=2\cdot2\sqrt{6}=4\sqrt{6}.\]Did you follow?

Answer 12

oh okay i got it know