Geometric means of 6 and 12?

I know the answer is either: 36, 72, 2 radical 6, or 6 radical 2.

I just need someone to show me how to solve this.. Geometry isn't explaining it enough for me, and I don't remember how to solve square roots from Algebra. :/ So some help would be nice.. thanks. c:

Question

Geometric means of 6 and 12?

I know the answer is either: 36, 72, 2 radical 6, or 6 radical 2.

I just need someone to show me how to solve this.. Geometry isn't explaining it enough for me, and I don't remember how to solve square roots from Algebra. :/ So some help would be nice.. thanks. c:

jim_thompson5910 · Answer

to find the geometric mean of two numbers, multiply them and then take the square root of that result

jim_thompson5910 · Answer

remember to simplify fully

anonymous · Answer

I know that I have to multiply them, but I don't understand how to get the square root. :/

jim_thompson5910 · Answer

what do you mean

anonymous · Answer

How do I find the square root of 72?

jim_thompson5910 · Answer

you simplify that, you don't need to evaluate it

anonymous · Answer

I don't understand what you're trying to say. D:

jim_thompson5910 · Answer

sqrt(72) = sqrt(36*2)

sqrt(72) = sqrt(36)*sqrt(2)

sqrt(72) = ???

anonymous · Answer

To get the geometric means of 6 and 12, I know I need to do $$\sqrt{ab}$$ but I don't understand what to do AFTER that.

anonymous · Answer

oh. So the square root of 36 is 6.. so it would be $$6\sqrt{2}$$ right?

jim_thompson5910 · Answer

you got it

anonymous · Answer

Okay, thanks. :D

jim_thompson5910 · Answer

np