Simplifying Irrational Numbers

Key Concepts:
Perfect Squares

● Any number that isn’t on this list is not
a perfect square
● To find the square root of a number
that isn’t listed, needs to be divided by
one of the numbers on this list in order
to find a whole number
○ MUST be a whole number
● It’s very important to have the perfect
squares memorized

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

10 x 10 = 100

11 x 11 = 121

12 x 12 = 144

Model Problem Examples

√24

√72

Simplify each radical

√36

√676

Simplify each radical

Practice Problems Pt. 1

√150

√441

Simplify each radical

Practice Problems Pt. 2

Homework Questions!