
What is the geometric mean of 8 and 18?
Answer
447.9k+ views
1 likes
Hint: For solving this question you should know about the geometric mean of any numbers. The geometric mean of any number is equal to the under root or square root of multiplication of both of that number and the ratio of both the numbers with the ratio with each number and geometric mean is always equal to each other. If we consider two positive numbers a & b then the geometric mean of this is and the ratio is equal to the ratio .
Complete step by step answer:
According to the question it is clear that we have to calculate the geometric mean of two positive numbers 8 and 18.
The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition .
The geometric mean of a and b is if a and b are both positive numbers and it will be if a and b are negative numbers.
The geometric mean is the positive square root of the product of two numbers.
For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.
If we talk about the n numbers then the geometric mean is the root of the product of n numbers. If n positive values are given then the geometric mean is the positive root of the product of that n – numbers.
So, the geometric mean is equal to
Here,
and
The geometric mean of this is equal to
Further we can write it as:
The geometric mean of 8 and 18 is equal to 12.
Note: The geometric mean is generally a root of n positive numbers. And it is defined as the (product of n - number) . To calculate the geometric mean of ‘n’ numbers you should multiply them with one another completely and then make it as a power .
Complete step by step answer:
According to the question it is clear that we have to calculate the geometric mean of two positive numbers 8 and 18.
The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition
The geometric mean of a and b is
The geometric mean is the positive square root of the product of two numbers.
For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.
If we talk about the n numbers then the geometric mean is the
So, the geometric mean is equal to
Here,
and
The geometric mean of this is equal to
Further we can write it as:
The geometric mean of 8 and 18 is equal to 12.
Note: The geometric mean is generally a
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 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
Explain why it is said like that Mock drill is use class 11 social science CBSE

The non protein part of an enzyme is a A Prosthetic class 11 biology CBSE

Which of the following blood vessels in the circulatory class 11 biology CBSE

What is a zygomorphic flower Give example class 11 biology CBSE

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

The deoxygenated blood from the hind limbs of the frog class 11 biology CBSE
