Q66 / 160 · WBJEE 2011 · Mathematics

The approximate value of \(\sqrt[5]{33}\) correct to 4 decimal places is

  • A
    2.0000
  • B
    2.1001
  • Correct answer
    C
    2.0125
  • D
    2.0500

Solution

Hints: \(y=x^{1 / 5} \Delta y=\left(\frac{d y}{d x}\right) \Delta x=1 / 80 \times 1\) \(y=2+1 / 80\)

Hence, the correct answer is option: 'C'.

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