How do you find the geometric mean between 18 and 1.5?

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Answer 1 · 2017-02-06T08:58:06

#3sqrt3# is the geometric mean between #18# and #1.5#

Finding geometric mean between two numbers #a# and #b#, means identifying a number #x# so that

#a#, #x# and #b# are in geometric sequence

i.e. #a/x=x/b# or #x^2=ab# i.e. #x=sqrt(ab)#

Hence, geometric mean between #18# and #1.5# is

#sqrt(18xx1.5)#

= #sqrt27#

= #3sqrt3#

Hence, #3sqrt3# is the geometric mean between #18# and #1.5#