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.


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