Geometric mean of 2 numbers is 15. If by mistake one figure is taken as 5 instead of 3,find the corrected geometric mean.
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Step-by-step explanation:
√ab = 15
ab = 225
(1) When a = 5
then b = 225/5 = 45
(2) when a = 3 & b = 45
Then correct geometric mean
G.M. = √3*45 = √135 = 3√15
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The given question is the geometric mean of 2 numbers is 15 .
√ab=15.
ab=225.
The a is wrongly taken as 5 instead of 3 .
with 5 as a the another number is
b=45.
In geometric series the ratio is 9 . which means 5 times 9 is 45
The ratio will remain the same for another number also
If a is 3 then 9 times a is 27 .
on multiplying 3 and 27 we get 81.
ab=81
√ab is 9
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