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Question
The geometric mean of two numbers 8 and 18 shall be
Options
12
13
15
11.08
Solution
12
Explanation:
GM = `root"n"("X"_1 xx "X"_2 xx "X"_3 xx ... xx "X"_"n")`
= `root2(8 xx 18)`
= `root2(4 xx 2 xx 9 xx 2)`
= `sqrt((2 xx 2) xx (2 xx 2) xx (3 xx 3))`
= 2 × 2 × 3
= 12
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