Chapter 5 - Number Theory and the Real Number System - 5.4 The Irrational Numbers - Exercise Set 5.4 - Page 298: 91

To add $\sqrt3+\sqrt{12}$, simplify first $\sqrt{12}$ to make the expressions similar. Then, add the radicals afterwards. Refer to the actual work below.

To add $\sqrt3+\sqrt{12}$, simplify first $\sqrt{12}$ to make the expressions similar. Then, add the radicals afterwards. \begin{align*} \sqrt3+\sqrt{12}&=\sqrt3+\sqrt{4(3)}\\ &=\sqrt3+2\sqrt3\\ &=(1+2)\sqrt3\\ &=3\sqrt3 \end{align*}