What is the geometric mean of 6 and 13?

Question

the_fizicx99 · Answer

Geometric mean = (a1 × a2 ... an)1/n

(6 * 13)1/2

78 * 1/2 = 39

random231 · Answer

u r wrong

the_fizicx99 · Answer

I did square it but got a really long decimal, so I thought it was wrong. √78

the_fizicx99 · Answer

You could use an exponent, (78)^1/2

whpalmer4 · Answer

it's $$(a_1*a_2*...*a_n)^{1/n}$$

The first attempt (=39) is incorrect. If you think about it, the geometric mean must be somewhere between the smallest and largest numbers.

the_fizicx99 · Answer

...I know its incorrect. I corrected it.

whpalmer4 · Answer

Yes, you did.  I'm trying to help anyone reading this have an intuitive grasp of what the answer should (or shouldn't) be, to avoid any such future mistakes :-)

the_fizicx99 · Answer

Lol so in a way, I showed what no to do (>.<) not exactly satisfying, but ok.