Answer : (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 numbersThe 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 numbersMean 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.