TS EAMCET · Maths · Application of Derivatives
The approximate value of \(\sqrt[3]{28}\) rounded up to 3 decimal places is
- A 3.012
- B 3.037
- C 3.025
- D 3.033
Answer & Solution
Correct Answer
(B) 3.037
Step-by-step Solution
Detailed explanation
Given number is \(3 \sqrt{28}\) Let \({x}=27\) and \(\Delta {x}=1, {y}={x}^{\frac{1}{3}}\) \( \Delta {y}=({x}+\Delta {x})^{\frac{1}{3}}-{x}^{\frac{1}{3}} \) \(\Delta y=(27+1)^{\frac{1}{3}}-(27)^{\frac{1}{3}}\) \((28)^{\frac{1}{3}}=\Delta y+3\) ...(i) Now take…
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