Objective: Find squares of numbers and square roots of perfect squares.

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SQUARES AND SQUARE ROOTS Objective: Find squares of numbers and square roots of perfect squares.

Transcript of Objective: Find squares of numbers and square roots of perfect squares.

Page 1: Objective: Find squares of numbers and square roots of perfect squares.

SQUARES AND SQUARE ROOTS

Objective:

Find squares of numbers and square roots of perfect squares.

Page 2: Objective: Find squares of numbers and square roots of perfect squares.

• A square has all sides the same length.

So to find the area of a square, youneed to multiply the length × width. •The Area of the square at the right is 5 × 5 which equals 25 square units. • The square of a number is the product of a number and itself. • So, the square of 5 is 25. • We can also say five squared or write it: 52= 5 × 5= 25

Examples: 1) Find the square of 3.

2) Find the square of 12.

Page 3: Objective: Find squares of numbers and square roots of perfect squares.

PERFECT SQUARES: Numbers like 9, 16, and 25 are called

square numbers or perfect squares because they are squares of whole numbers.

For Example: 9 = 3 ● 3 16 = 4 ● 4 25 = 5 ● 5

Page 4: Objective: Find squares of numbers and square roots of perfect squares.

SQUARE ROOTS: The factors multiplied to form a perfect square

are called square roots.

A radical sign √ is the symbol used to indicate a square root of a number.

A square root of a number is one of its two equal factors.

For example: 4 ● 4 = 16, so the √16 = 4

Examples: Find √81 = 9 ( because 9 × 9 = 81)

Find √225 =

Page 5: Objective: Find squares of numbers and square roots of perfect squares.

Complete the activity by finding the square roots of 4, 9, 16, 25, 36, 49, 64, 81, 100.

To do this activity you will have to write a sub-title: SQUARE ROOTS

1. Draw the square rood sign (radical sign) in a different color.

2. Color the necessary squares to make the square root correct.

3. Then write the square root and the answer in another color.

Page 6: Objective: Find squares of numbers and square roots of perfect squares.

HOMEWORK: Find the square of each number.

1. 42. 13. 74. 115. 166. 207. 188. 34

Find each square root.

9. √4

10. √16

11. √49

12. √100

13. √144

14. √256

15. √529

16. √625