# Perfect Squares and Their Roots

# Square Numbers

How could a number be a perfect square? If you can arrange that number of items into a perfect square. Take 9 for example. You can take nine items and arrange them in a three by three square, so nine is a square number.

## LEARN IT

Take the list of whole numbers (0,1,2,3...) and square them, raise them to the second power, and you'll get a very special list of numbers known as the perfect squares. Knowing your perfect squares and their inverses, the square roots, will assist you in all types of problems- from arithmetic to algebra to geometry.

### Watch the Virtual GED Class video for a complete explanation and tons of worked example problems.

## PRACTICE IT

### BEGINNING

Practice the three Quizlet sets above until you have the perfect squares and their roots memorized. See example #1-2 below.

A mix of perfect squares and their roots, round perfect squares and their roots, and estimation problems. See examples #3-7 below.

GED style applications: negatives, fractions, and decimals, undefined expressions, and geometry. See challenge and extension example videos below.

## WORKED EXAMPLES

Beginning 1

Beginning 2

Experienced 1

Experienced 2

Experienced 3

Advanced 1

Advanced 2

Advanced 3

Advanced 4

Advanced 5

Advanced 6

Advanced 7

Advanced 8

Advanced 9

Advanced 10

Advanced 11

Advanced 12

Advanced 13

Advanced 14

Extension 1

Extension 2

Extension 3

Extension 4

Extension 5

Extension 6

Extension 7