9.1 square roots day 1
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Evaluate.
2. 92
Lesson 9.1, For use with pages 469-474
1. 52 You will NEED a calculator
from now to the end of the year!
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ANSWER 25
ANSWER 81
Evaluate.
2. 92
Lesson 9.1, For use with pages 469-474
1. 52 You will NEED a calculator
from now to the end of the year!
![Page 3: 9.1 square roots day 1](https://reader033.fdocuments.us/reader033/viewer/2022061103/5405fa188d7f729e768b4f5d/html5/thumbnails/3.jpg)
Square Roots
9.1
Day 1
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Our goals in this lesson :
To understand how to take (or find) the square root of a number
To be identify perfect squares
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Essential Questions
What is the difference between an irrational number and a rational number?How are real numbers and the Pythagorean Theorem used in everyday life? What types of real-life situations could the Pythagorean Theorem or square roots apply to? Why?
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VocabularyRadical Sign– The symbol for the square root
Square root – Of a number N is the number that when
multiplied by itself gives the number N. 5 and -5 are the square roots of 25 because 52=25 and (-5)2=25.
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Square Roots
81
81
81
Principal Square Root
Negative Square Root
Both Square Roots
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VocabularyRadical Expression– An expression that involves a radical sign
Perfect Square– Is a number with an integer square root such as
9, 16 and 25.Square root of the number must be a whole number to be a perfect square. NO decimal!
25 525 5
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Perfect Squares: Area of a square = s2
Side Length of a Square12345678910
Area 1 4 9 16 25 36 49 64 81 100
These are all the perfect squares that are less than 100.
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Try these examplesAre these numbers perfect squares?A) 729
B) 864
C)1444
D)1521
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Try these examplesAre these numbers perfect squares?A) 729– Yes, 27
B) 864– No
C)1444 • Yes, 38.
D)1521• Yes, 39.
How do you know?
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Square Roots
You can use square roots to find the side or length of a square.
Area is 144 sq. feet. What is the length of each side?
(A = s2)12 feet
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Square Roots
You can use square roots to find the side or length of a square.
Area is 144 sq. feet. What is the length of each side?
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The area of this square is 225 cm2
What is the length of each side?
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The area of this square is 225 cm2
What is the length of each side?
15 cm
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EXAMPLE 1 Evaluating Square Roots
a. 36
b. 64–
c. 425
d. 0.81
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EXAMPLE 1 Evaluating Square Roots
a. 36 = 6
b. 64– = –8
c. 425
25=
d. 0.81 = 0.9
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GUIDED PRACTICE for Examples 1 and 2
Find or approximate the square root to the nearest integer.
1.
4
2. 0
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GUIDED PRACTICE for Examples 1 and 2
Find or approximate the square root to the nearest integer.
1.
4
2. 0
ANSWER2
ANSWER
0
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GUIDED PRACTICE for Examples 1 and 2
Find or approximate the square root to the nearest integer.
3.
36–
4. 81–
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GUIDED PRACTICE for Examples 1 and 2
Find or approximate the square root to the nearest integer.
3.
36–
4. 81–
ANSWER–6
ANSWER
–9
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EXAMPLE 3 Using a Calculator
Evaluate the square root. Round to the nearest tenth, if necessary.
a. 56.25– b. 8 c. 1256–
SOLUTION
Keystrokes AnswerDisplay
a.
b.
c.
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EXAMPLE 3 Using a Calculator
Evaluate the square root. Round to the nearest tenth, if necessary.
a. 56.25– b. 8 c. 1256–
SOLUTION
Keystrokes AnswerDisplay
a. –7.5b. 2.8c. –35.4
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Simplifying radicals
16 1625 25
100400 =
100400
=1020
=
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Simplifying radicals
16 1625 25
45
100400 =
100400
=1020
=12
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Find two consecutive integers that each is between
29
115
82
385
5.385
10.723
9.055
19.621
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Find two consecutive integers that each is between
29
115
82
385
10 11and
9 10and
19 20and
5 6and5.385
10.723
9.055
19.621
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Homework
Worksheet 9.1– See page 819