Exploring Squares and Square Roots

The video tutorial covers the concepts of squares and square roots, starting with definitions of perfect squares and square roots. It explains that every positive number has two square roots, one positive and one negative, and introduces the principal square root. The tutorial provides examples of calculating square roots, including those of fractions and decimals, and discusses irrational numbers. It also guides viewers on identifying consecutive integers between which a square root falls.

What is a perfect square?

• A number that can be divided by 2

• A number that is the square of a whole number

• A number that is a fraction

• A number that is a decimal

What is the square root of 9?

• 4

• 2

• 5

• 3

How many square roots does a positive number have?

• Two

• One

• Three

• Four

What is the principal square root of 16?

• 16

• 2

• 8

• 4

What is the square root of 36?

• 12

• 24

• 6

• 18

What is the square root of 25/4?

• 25/4

• 5/2

• 5/4

• 25/2

What is the negative square root of 9?

• -3

• -4

• -2

• -1

What is the square root of 1.69?

• 1.1

• 1.4

• 1.2

• 1.3

Between which two integers does the square root of 14.52 fall?

• 4 and 5

• 5 and 6

• 3 and 4

• 2 and 3

Between which two integers does the square root of 22 fall?

• 4 and 5

• 6 and 7

• 5 and 6

• 3 and 4