If the product of eight positive real numbers in unity, then their sum is
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Let A1 ,A2 , A3 , A4 ......A8 are eight positive real numbers .
we know ,
AM ≥ GM
where AM = arithmetic mean
GM = Geometric mean
( A1 + A2 + A3 .....A8)/8 ≥ (A1.A2.A3...A8)⅛
A/C to question,
A1.A2. ......A8 = 1
(A1 + A2 + .....+ A8)/8 ≥ (1)⅛ = 1
(A1 + A2 + A3.....+ A8) ≥ 8
hence, sum of all positive number is 8 or more then 8
we know ,
AM ≥ GM
where AM = arithmetic mean
GM = Geometric mean
( A1 + A2 + A3 .....A8)/8 ≥ (A1.A2.A3...A8)⅛
A/C to question,
A1.A2. ......A8 = 1
(A1 + A2 + .....+ A8)/8 ≥ (1)⅛ = 1
(A1 + A2 + A3.....+ A8) ≥ 8
hence, sum of all positive number is 8 or more then 8
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0
Answer:
not so sure
Step-by-step explanation:
sorry
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