1. Square Roots of Perfect Squares
Math 9 Lesson 1.1
Square Roots of Perfect Squares

2. Focus: Determine square roots of decimals and fractions that are perfect squares.
Introduction: (page 6)
Playground is 400 m2
Find the side length of the playground
Find the amount of fencing required for all sides

3. Notes: To find the area of a squre, square it’s side length
(2 cm)2 = 4 cm2
2 cm The area is 4 cm2
A = s2
= ( )2
= units2

4. To calculate the side length of a square given the area  find the square root of the area
If the area of a square is
then the side length is = 

5. ** Squares and square roots are opposite operations **
Fractions that are perfect squares are:
fractions that in simplest form are perfect squares
if it can be written as the product of 2 equal fractions
Ex: is ( ) ( )

6. Are the following perfect squares?

7. Decimals that are perfect squares
Rewrite the decimal as a fraction in lowest terms – then treat it as a fraction
Ex: 0.25 = = = x 1 2
Try: 1.69
2.5

8. Summary
Which of the following are perfect squares?
0.0289
1.69

9. Homework Pages 11-31 # 1, 2, 5a-f, 8, 9ace, 11ab, 13a, 14 and 15
If you are on a different program do:
#4, 6, 7abcd, 10(use a calculator) and 14