
What is the geometric mean of 4 and 16?
A). 2
B). 4
C). 6
D). 8
Answer
417.6k+ views
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 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
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,
Thus we used the same for the above only the thing is we found the mean here.
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
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,
Thus we used the same for the above only the thing is we found the mean here.
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

What is the technique used to separate the components class 11 chemistry CBSE

Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Give two reasons to justify a Water at room temperature class 11 chemistry CBSE
