What is the geometric mean of 81 and 4?

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Answer 1 · 2018-02-20T14:10:30

#"The GM of "81 and 4," by definition, is "sqrt(81xx4)=18#.

Answer 2 · 2018-02-20T14:13:20

#sqrt(81*4) = 9*2 = 18 #

Geometric mean of a and b = Square root of (a x b)

Answer 3 · 2018-02-20T14:17:56

see a solution process below;

We can say let those two digits be represented by #x and z#

Hence;

#x = 81#

#z = 4#

Geometric Mean # = y#

Recall;

Geometric Mean #rArr y =sqrt(xz)#

#y = sqrt(xz)#

Substituting the values..

#y = sqrt(81 xx 4)#

#y = sqrt324#

#y = 18#

Hence the Geometric Mean of 81 and 14 is 18.

Hope this helps!