Use the binomial theorem to evaluate the following upto four places of decimals. 3√126

Question

Use the binomial theorem to evaluate the following upto four places of decimals.

\(\sqrt[3]{126}\)

3√126

Answer 1

\(\sqrt[3]{126}\)

 = (125 + 1)^1/3

 = 5(1.00266 - 0.000007)

 = 5(1.002653)

 = 5.013265

 = 5.0133