What is the geometric mean of 6 and 24?

1 Answer
Oct 19, 2016

Geometric mean of #6# and #24# is #12#

Explanation:

This question is basically asking if you know what is meant by "the geometric mean of tow numbers".

In general the geometric mean of #n_1# and #n_2# is
#color(white)("XXX")root(2)(n_1xxn_2)#

In this case the geometric mean is
#color(white)("XXX")root(2)(6xx24)=root(2)(144)=12#

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Bonus information:
Given #k# values: #n_1, n_2, ..., n_k#
#color(white)("XXX")#the geometric mean is #root(k)(prod_(i=1)^k n_i)#