If a, b, c are positive real numbers such that a2b3c4 = 21933, the minimum value of a + b + c is _______.

Question

If a, b, c are positive real numbers such that a2b3c4 = 21933, the minimum value of a + b + c is _______.
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

This problem can be solved using the AM-GM inequality (Arithmetic Mean-Geometric Mean Inequality). The AM-GM inequality states that the arithmetic mean of non-negative real numbers is greater than or equal to the geometric mean.

Step 1: Rewrite the equation a^2b^3c^4 = 21933 as aabbbcccc = Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

If a, b, c are positive real numbers such that a2b3c4 = 21933, the minimum value of a + b + c is _______.

If three positive numbers a, b and c are in A.P. such that abc=8, then the minimum possible value of b is:

If ‘a’ and ‘b’ are two positive real numbers and a3b4 = 32768 then the minimum possible value of (3a + b) is ___________ .

Q 56. If three positive numbers x, y and z are in A.P. such that xyz = 27 then the minimum possible value of y is: Ops: A. 1.3 B. 3 C. 6 D. 6.3

If a + b + c + d = 13, find the minimum possible value of a3 + b3 + c3 + d3, given that a, b, c and d are all positive integers.

1/3