SIMPLIFYING ROOTS

MATH8

Warm Up Questions

Between which two consecutive integers is ?

Compare the following two numbers using <, >, or =.

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Order the following numbers from least to greatest.

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11 and 12

16

~16.1

<

8.7

9.2

Perfect Squares

- memorize the perfect squares up to 20

- the square root of a perfect square is a whole number

- the square roots of non-perfect squares are irrational and can be approximated

Simplifying Fractions- make factor tree if necessary

Simplifying Fractions- make factor tree if necessary

does not simplify

Rules for Simplifying Roots

Roots – the basics

so also

1) Make a factor tree of the root, keeping all factors under a radical sign

2) Pair up any equal roots, they become whole numbers

3) All whole numbers get multiplied out front; any leftover radicals

multiply and stay under one radical sign

Simplify the radical

Simplify the radical

3

Simplify the radical

6

2

Simplify the radical

2

3

memorizing the perfect squares

makes simplifying radicals faster

4

3