Question

∛0.99 is closest to

A.

0.33

B.

0.14

C.

0.99

D.

0.45

Correct option is C

Given Formula:
If x is very close to 1, then
∛x ≈ 1 − (1 − x)/3

Solution:
Here
= 0.99
∛0.99 ≈ 1 − (1 − 0.99)/3
= 1 − (0.01)/3
= 1 − 0.0033
= 0.9967
Hence, ∛0.99 ≈ 0.99
Correct Answer: (c) 0.99

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