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Question -

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



Answer -

(i) 2 and 8

GM between a and b is√ab

Let a = 2 and b =8

GM = √2×8

= √16

= 4

(ii) a3band ab3

GM between a and b is√ab

Let a = a3band 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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