MediumPhysicsbinomial
+4 / -1
Calculate (1001)1/3.
A
10.00
B
10.0034
C
10.003333
D
10.003
Explanation
1001 = 1000(1 + 1/1000). Therefore, (1001)1/3 = 10(1 + 1/1000)1/3. Using binomial approximation, (1 + x)n ≈ 1 + nx for small x, we get 10[1 + 1/3000] = 10.0033 ≈ 10.003
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