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

Question

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

Here are the steps to solve the problem:

  1. Given that a^3 * b^4 = 3 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

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