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Find the geometric means of the following pairs of numbers:
(i) 2 and 8
(ii) a3b and ab3
(iii) –8 and –2

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(i) 2 and 8

GM between a and b is √ab

Let a = 2 and b = 8

GM = √2 × 8

= √16

= 4

(ii) a3b and ab3

GM between a and b is √ab

Let a = a3b and b = ab3

GM = √(a3b × ab3)

= √a4b4

= a2b2

(iii) –8 and –2

GM between a and b is √ab

Let a = –2 and b = –8

GM = √(–2 × –8)

= √–16

= -4

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