### Home > CCA2 > Chapter 2 > Lesson 2.1.2 > Problem2-27

2-27.

Simplify each expression without using a calculator. Remember that to simplify expressions with radicals, you can remove perfect square factors such as in this example: $\sqrt { 18 } = \sqrt { 9 \cdot 2 } = \sqrt { 9 } \cdot \sqrt { 2 } = 3 \sqrt { 2 }$.

1. $\sqrt { 50 }$

What square number is a factor of $50$?

Here is a list of square numbers to get you started:

$1^2=1\\2^2=4\\3^2=9\\4^2=16\\5^2=25\\6^2=36$

1. $\sqrt { 72 }$

Refer to part (a).

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

1. $\sqrt { 45 }$

Refer to part (a).