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