Question

Which expression simplifies to 6h^2√3h? sqrt36h^5, sqrt49h^3, sqrt108h^5, sqrt18h^3

Answer 1

Choice (C)...but why?

So you're looking for a radicand that will produce a 6 on the outside but a 3 left inside.

Answer 2

All you do is square 6: (6)(6)

That will give you 36. The 36 WAS underneath the radical before it was simplified.

While it was under the radical it was being multiplied by the 3 that's still underneath the radical. Giving us: (36)(3)

This gives 108.

Answer 3

For this problem, that's enough to select the correct response.

Answer 4

Hope that explained it somewhat. Take care.

Answer 5

thank you!