Chapter 6.4, Problem 190E

In the following exercises, use the binomial approximation

$\sqrt{1-x}\approx 1-\frac{x}{2}-\frac{x^2}{8}-\frac{x^3}{16}-\frac{5x^5}{128}-\frac{7x^5}{256}$ for |x| <1 to approximate each number. Compare this value to the value given by a scientific calculator.

190. [T] $\sqrt{5}=\frac{1}{\sqrt{3}}$.= using $x=\frac{2}{3}$ in (1 −x)1/2