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**Find Square Roots and Compare Real Numbers**

By: Amanda West

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Intro All positive real numbers have two square roots, a positive square root and a negative square root. A square root is written with the √ (radical symbol). Perfect Squares You need to approximate a square root if the radicand is a whole number that is not a perfect square.

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Irrational Numbers The root of a whole number that is not a perfect square is an example of an irrational number. √945= The decimal form of an irrational number neither terminates or repeats.

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**Real Numbers In the example to the left, all are real numbers.**

Irrational Numbers Rational Numbers Whole #’s In the example to the left, all are real numbers. Integers

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**Vocabulary Radicand- the number or expression inside a radical symbol**

Perfect Square- the square of an integer Square Root- Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. Real Number- the set of all rational and irrational numbers Irrational Number- a number that cannot be written as a quotient of two integers

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The Real Number System. Real Numbers The set of all rational and the set of all irrational numbers together make up the set of real numbers. Any and all.

The Real Number System. Real Numbers The set of all rational and the set of all irrational numbers together make up the set of real numbers. Any and all.

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