Find the GM between the numbers
(i) 5 and 125
(ii) 1 and 
(iii) 0.15 and 0.0015
(iv) -8 and -2
(v) -6.3 and -2.8
(vi) ad ab3
(i) 5 and 125
To find: Geometric Mean
Given: The numbers are 5 and 125
Formula used: (i) Geometric mean between 
Geometric mean of two numbers 
= 25
The geometric mean between 5 and 125 is 25
(ii) 1 and 
To find: Geometric Mean
Given: The numbers are 1 and 
Formula used: (i) Geometric mean between 
Geometric mean of two numbers 
The geometric mean between 1 and 
is 
.
(iii) 0.15 and 0.0015
To find: Geometric Mean
Given: The numbers are 0.15 and 0.0015
Formula used: (i) Geometric mean between 
Geometric mean of two numbers 
= 0.015
The geometric mean between 0.15 and 0.0015 is 0.015.
(iv) -8 and -2
To find: Geometric Mean
Given: The numbers are -8 and -2
Formula used: (i) Geometric mean between 
Geometric mean of two numbers 
= 
Mean is a number which has to fall between two numbers.
Therefore we will take -4 as our answer as +4 doesn’t lie between -8 and -2
The geometric mean between -8 and -2 is -4.
(v) -6.3 and -2.8
To find: Geometric Mean
Given: The numbers are -6.3 and -2.8
Formula used: (i) Geometric mean between 
Geometric mean of two numbers 
= 
Mean is a number which has to fall between two numbers.
Therefore we will take -4.2 as our answer as +4.2 doesn’t lie between -6.3 and -2.8
The geometric mean between -6.3 and -2.8 is -4.2.
(vi) a3b and ab3
To find: Geometric Mean
Given: The numbers are a3b and ab3
Formula used: (i) Geometric mean between 
Geometric mean of two numbers 
= a2b2
The geometric mean between a3b and ab3 is a2b2.