# U13 L-5 Simplifying Square Roots

```Unit 13 L-5 Math 8
Aim:
Use square root and cube root symbols to represent solutions to equations.
small perfect squares and small perfect cubes. (8.EE.2)
Evaluate square roots of
Simplifying Square Roots
Warm Up:
List the first 12 perfect squares
Sometimes it is easier to leave square roots in radical form instead of using a calculator to
find decimal approximations. In this lesson, you will be simplifying square roots without
using your calculator to convert them into decimals.
To Simplify Square Roots
• Factor the number under the radical sign (radicand). Look for perfect squares that
• Rewrite the square root as the product of its factors.
• Take the square root of any perfect squares.
• Rewrite the expression as the product of the numbers that remain.
Examples:
9 = 3
18 = 9 ∙ 2 = 9 ∙ 2 = 3 2
80 = 16 ∙ 5 = 16 ∙ 5 = 4 5
Simplify each square root completely.
1.
50
2.
28
3.
18
4.
44
5.
12
6.
75
2014-2015
7.
128
8.
288
9.
108
10.
250
11.
200
12.
504
13.
72
14.
24
15.
400
16.
196
17.
192
18.
98
19.
54
20.
84
21.
512
22.
756
23.
450
24.
360
2014-2015
```