Use the linear approximation to find approximate values of (i) (123)^2/3 (ii) 4√15 (iii) 3√26

Question

Use the linear approximation to find approximate values of 

(i) (123)^2/3

(ii) \(\sqrt[4]{15}\)

(iii) \(\sqrt[3]{26}\)

Answer 1

(i) (123)^2/3

(ii) \(\sqrt[4]{15}\)

Consider

f'(x₀) = f'(16) 

(iii) \(\sqrt[3]{26}\)

The required linear approximation