# Week 4 – Precalc 11

Radical expression: the term a$\sqrt[b]{c}$

Radical: a root sign (represented by √)

Coefficient: the number outside the radical, it is being multiplied by the radical

When adding or subtracting radical expressions, the radicals (the radicand and the root) must be like terms. Some radicals can be simplified to achieve like terms. The coefficients are then added or subtracted, and the radical remains the same.

Example:

$\sqrt{2}$ + $\sqrt{8}$

= $\sqrt{2}$ + $\sqrt{4}$$\sqrt{2}$

= $\sqrt{2}$ + 2$\sqrt{2}$

= 3$\sqrt{2}$