Question

If a2 +b2 + c2 = 1, what is the maximum value of abc ?

Answer 1

Answer:

a2 + b2 + c2 = 1

So, the maximum value of a2 b2 c2 = 13

× 13

× 13

= 127

(∵ when sum of three positive quantities is fixed, the product will be maximum when the quantities are equal)

Hence, maximum value of abc = 127−−√=133–√3

Step-by-step explanation:

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