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Published byReynold Mason Modified over 7 years ago

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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.

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**Types of Real Numbers There are two types of Real Numbers**

1) Rational Numbers 2) Irrational Numbers

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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.

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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

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**Radicand – The number or expression that is under the radical sign**

In the expression the 2 is called the radicand

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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

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**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

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**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

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**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

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

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

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