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ajinkya bhole Grade: 10
        

if ab=2a+3b, a>0,b>0 then the min. value of ab=?


(plz tell the answer by using inequalities and also differentiation  and by any simple method u have)thnku... 

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear ajinkya


ab=2a+3b ...............1


use AM ≥GM


 (2a+3b)/2  ≥ (6ab)1/2


 or  (2a+3b)  ≥ 2(6ab)1/2


 so from equation 1


 ab ≥ 2(6ab)1/2


 (ab)1/2 ≥ 2(6)1/2


ab ≥ 24


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Badiuddin

7 years ago
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