
What is the geometric mean of 4 and 16?
A). 2
B). 4
C). 6
D). 8
Answer
422.7k+ views
2 likes
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.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

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

Master Class 11 Maths: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

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

The flightless birds Rhea Kiwi and Emu respectively class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

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

1 Quintal is equal to a 110 kg b 10 kg c 100kg d 1000 class 11 physics CBSE
