Question

Simplify the following expression.

rad3 times 2rad2

Answer 1

Have you ever seen this notation?\[x^{\frac{ 1 }{ 3 }}\times x ^{\frac{ 1 }{ 3 }}\]

Answer 2

the options they give to choose an answer from are:
6rad2

rad12

6rad5

2rad6

Answer 3

no I dont thinks so.....

Answer 4

*think

Answer 5

here's the general rule: \[\sqrt{x }\times \sqrt{y} =\sqrt{xy}\]

Answer 6

so the whole thing reads \[\sqrt{3} \times 2 \times \sqrt{2}\]

Answer 7

ok..i am following you so far :)

Answer 8

you can multiply things in any order, so it could be \[2 \times \sqrt{3} \times \sqrt{2}\]

Answer 9

now use the general rule I showed you. What should the radical be now?

Answer 10

hint: x is 3 and y is 2

Answer 11

sorry.....the answer is 2rad6....right?

Answer 12

if x=3 and y=2 then \[\sqrt{x} \times \sqrt {y} = \sqrt {3} \times \sqrt{2} = \sqrt {xy} = \sqrt {3 \times 2}\]

Answer 13

you tell me...

Answer 14

I would say 2rad6

Answer 15

And you would be correct.

Answer 16

thanks so much for your help