Chapter 4 Quadratic Functions and Factoring - 4.5 Solve Quadratic Equations by Finding Square Roots - 4.5 Exercises - Skill Practice - Page 269: 17

$$\frac{4\sqrt{2}}{11}-\frac{\sqrt{10}}{11}$$

Simplifying the expression using the rules of radicals, we find: $$\frac{\sqrt{2}\left(4-\sqrt{5}\right)}{\left(4+\sqrt{5}\right)\left(4-\sqrt{5}\right)} \\ \frac{\sqrt{2}\left(4-\sqrt{5}\right)}{11}\\ \frac{4\sqrt{2}}{11}-\frac{\sqrt{10}}{11}$$