Week 4 – Precalc 11

This week in Precalculus 11, we learned about adding and subtracting radical expressions.

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

Radical: a root sign (represented by √)

Radicand: the number underneath the radical

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.


\sqrt{2} + \sqrt{8}

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

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

= 3\sqrt{2}