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Square & Square Roots

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Presentation Overview

Learning Objectives:

I can find square roots and cube roots.
I can estimate square roots.

In this presentation, you will learn about:

what "roots" are
what "perfect squares" are
how to estimate the square root of a number using what you know about perfect squares
what a radical sign is

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5 minute warmup

Giselle bought two types of flowers, 48 pink roses and 56 white lilies. She combines these flowers to make identical bouquets, with no flowers left over.

Find the greatest number of bouquets Giselle can make.
Find the number of pink roses and white lilies in each bouquet.

A- Find The GCF of 48 and 56:

GCF= 8

B- Find the factor pairs of each flower

Roses: 6 x 8 = 48 so there are 6 pink roses

Lilies: 7 x 8 = 56 so there are 7 white lilies

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Consider This...

Take a look at the table to the right. Can you fill in the blanks?

Use what you have already learned about exponents to help you.

n	n²
0
	1
2
	9
4

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Consider This...

Take a look at the table to the right. Can you fill in the blanks?

Use what you have already learned about exponents to help you.

n	n²
0	0
1	1
2	4
3	9
4	16

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Review: Exponents & Squares

Remember that an exponent tells you how many times a number is repeatedly multiplied by itself.

A square is a number that is raised to the second power.

3² = 9

1.5² = 2.25

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Perfect Squares

A perfect square is simply the square of a whole number.

All the numbers below are examples of perfect squares.

4 9 16 25

Can you think of another perfect square?

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Square Roots

Just like multiplication and division are inverse operations, squaring a number also has an inverse operation, called a square root.

A square root of a number is a number that when multiplied by itself is equal to the given number.

We use a radical sign to indicate a square root. It looks like this:

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Finding Square Roots

To find a square root, you must find the number that when multiplied by itself gives you the given number.

For example, what is the square root of 81?

81 = ?

? · ? = 81

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Finding Square Roots

To find a square root, you must find the number that when multiplied by itself gives you the given number.

For example, what is the square root of 81?

81 = 9

9 · 9 = 81

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You Try It!

Complete these problems on the left-side page of your interactive notebook.

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2)

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36

144

1 16

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You Try It!

Complete these problems

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169

400

100