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Answer:
a = 64
Explanation:
The geometric mean of 2 numbers a and b is , then
= 16 ( square both sides )
28a = (16 )² = 1792 ( divide both sides by 28 )
The geometric mean for two numbers is given by :
GM = sqrt(ab)
16 sqrt(7) = sqrt(a*28)
Square each side
(16 sqrt(7))^2 = (sqrt(a*28))^2
256*7 = 28a
1792 = 28a
Divide each side by 28
1792/28 = 28a/28
64 = a
, then
= 16
( square both sides ) )² = 1792 ( divide both sides by 28 )