### Home > A2C > Chapter 4 > Lesson 4.2.1 > Problem4-67

4-67.

Simplify each expression. Remember you can simplify radicals by removing perfect square factors (e.g. $\sqrt { 12 } = \sqrt { 4 \cdot 3 } = 2 \sqrt { 3 }$).

1. $\sqrt { 24 }$

Remove any perfect square factors.

$\sqrt{4 \cdot 6}$

$2\sqrt{6}$

1. $\sqrt { 18 }$

See part (a).

1. $\sqrt { 3 } + \sqrt { 3 }$

Remember that radicals can be treated like variables.

$1 \sqrt{3} + 1 \sqrt{3}$

$2\sqrt{3}$

1. $\sqrt { 27 } + \sqrt { 12 }$

See parts (a) and (c).