An algebra problem by Prakash Chandra Rai

Algebra Level 3

If a,b,c are positive real numbers such that a+b+c=1

find least value of the above expression


The answer is 6.

Prakash Chandra Rai by Prakash Chandra Rai , 24, India

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3 solutions

You can do the following

2 Helpful 0 Interesting 0 Brilliant 0 Confused

So what's the final answer?

Dale Angelo Cortez - 6 years ago

How did you get 6 and 6abc ???explain pls

Dale Angelo Cortez - 6 years ago
Vinay Agarwal
Dec 18, 2014

EQUALITY WILL HOLD WHEN ALL THE THREE VARIABLES WILL BE EQUAL,i.e. a=b=c=1/3

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sir,i think your ans is wrong take a=1, b=-1 ,c=1 ans will come -2 and-2<6 so ans is -2

Priyanshu Tirkey - 6 years, 4 months ago

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but b=-1 is not a positive real no. as it is given in the question it should be

Raushan Sharma - 6 years, 4 months ago
Saurabh Mishra
Dec 7, 2014

use AM GM Inequality

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