square roots

Square RootsIncluding Irrational and Rational Numbers!

Radicand

Square

Square Root

Radical

›Radical Sign represents the positive square root

represents the negative square rootExample:

3

-3

›Square RootThe square root of a number is a value that can be multiplied by itself to get the original number.

Example: 3 or -3

Perfect Squares

Perfect Square Exploration

›Perfect Square–Square root will be a rational number

›Not a Perfect Square–Square root will be an irrational number

›Rational Numbers– Terminating or repeating decimals that can be written as a ratio

– Examples:

›Irrational Numbers– Do not have terminating or repeating decimals

› Goes on forever with no pattern!

– Example: 9.2740179367289…

Irrational numbers

Rational numbers

Integers

Whole numbers

Real numbersNumber Classifications

Evaluate and Classify

1.

Answer: 6 or -6

Type: Rational

2.

Answer:

Type: Rational

3.

Answer: -3.464101615…

Type: Irrational

4.

Answer: ±

Type: Irrational

What are the square roots of 49?

Answer: 7 and -7

What are the square roots of 36?

Answer: 6 and -6

Practice