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What is the geometric mean of 4 and 16?
A). 2
B). 4
C). 6
D). 8

Answer
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Hint: We are given two numbers. We know that if a and b are the two numbers then the geometric mean is given by the root of the product of the two given numbers such that ab will be the geometric mean of the two numbers a and b. Now we will apply the same with the two numbers given above.

Complete step-by-step solution:
Given that the two numbers are 4 and 16.
Now the product of 4 and 16 is 64.
The geometric mean is given by the root of the product of the two numbers.
So the geometric mean of 4 and 16 will be the root of 64.
And we know that 64 is the perfect square of 8. So 64=8
Thus 8 is the geometric mean of 4 and 16.
So option D is the correct option.

Note: We also know the concept of geometric progression. If a, b and c are in a G.P. such that the ratio between the consecutive terms is constant then the geometric mean is given by,
b=ac
Thus we used the same for the above only the thing is we found the mean here.