### Home > A2C > Chapter 4 > Lesson 4.1.2 > Problem4-31

4-31.

Simplify each expression without using a calculator. Remember that to simplify expressions with radicals, you can remove perfect square factors. Part (a) below is provided as an example.

1. $\sqrt { 18 } = \sqrt { 9 \cdot 2 } = \sqrt { 9 } \cdot \sqrt { 2 } = 3 \sqrt { 2 }$

1. $\sqrt { 50 }$

What square number is a factor of 50?

$5\sqrt{2}$

1. $\sqrt { 72 }$

Use the same method as in parts (a) and (b).

To simplify completely you need to find the largest square number that is a factor of 72.

1. $\sqrt { 45 }$

Use the same method as in parts (a) and (b).