1. Real Numbers
Real Numbers are all numbers that can be located on Real Number line.
This includes all whole numbers, all fractions, all decimals, all roots, etc.

2. Types of Real Numbers There are two types of Real Numbers
1) Rational Numbers
2) Irrational Numbers

3. Rational Number
A Rational Number is any number that can be written as a RATIO (fraction) between 2 integers
Examples of Rational Numbers:
The decimal of a Rational Number is either terminating or repeating.

4. Irrational Number
A number that cannot be written as a ratio between 2 integers is called an irrational number
Examples if Irrational Numbers :
The decimal of an irrational number is non-terminating and non-repeating

5. Radicand – The number or expression that is under the radical sign
In the expression
the 2 is called the radicand

6. Example 1 : Use the calculator to find the decimal equivalent of each radical expression. Is the radical a rational or irrational number? Round your final answer to the 100ths place value
2.24
5.57 9
Irrational
Irrational
Rational

7. You can never take the square root of a negative number.
Why ?
Answer: because there is no number, that when squared will give you a negative

8. Rules For Simplifying Radicals
Method 1:
Steps Find the factor tree for the radicand 2) Pull any pairs out of the radical and leave non pairs under the radical 3) Multiply pairs and non pairs

9. Rules For Simplifying Radicals
Method 2:
Steps Find the largest perfect square that goes into the radicand 2) Write the radicand as a product of the perfect square and a number\ 3) Pull the perfect square out of the radical

10. Examples : Use the rules of simplifying radicals to simplify each expression

11. Examples : Use the rules of simplifying radicals to simplify each expression