Algebra 2 / Trigonometry 1.3: Square Roots

ADVERTISEMENT

Algebra 2 / Trigonometry
Algebra 2 / Trigonometry
Concord High
Concord High
1.3: Square Roots
1.3: Square Roots
RNBriones
RNBriones
1-3
1-3
Square Roots
Square Roots
Vocabulary
Starter 1.3
Round to the nearest tenth.
nearest tenth.
• Radical symbol
1. 3.14
2. 1.97
2.0
• Radicand— number or expression under the
3.1
radical symbol
Find each square root.
• Principal root — positive square root of a
3.
4.
25
4
number
Write each fraction in simplest form
simplest form.
• rationalize the denominator
5.
6.
• like radical terms
Simplify.
7.
8.
or –5
Holt Algebra 2
Holt Algebra 2
1-3
1-3
Square Roots
Square Roots
Perfect Squares
Example 1: Estimating Square Roots
Number
Square
Number
Square
Estimate
to the nearest tenth.
1
1
11
121
Find the two perfect squares that
<
<
2
4
12
144
27 lies between.
3
9
13
169
Find the two integers that
5
6
<
<
lies between
.
4
16
14
196
5
25
15
225
Because 27 is closer to 25 than to 36,
is close to 5 than to 6.
6
36
16
256
Try 5.2: 5.2
2
= 27.04
Too high, try 5.1.
7
49
17
289
5.1
2
= 26.01
Too low
8
64
18
324
Because 27 is closer to 27.04 than 26.01,
is closer to 5.2
than to 5.1.
9
81
19
361
Check On a calculator
≈ 5.1961524 ≈ 5.1 rounded
10
100
20
400
to the nearest tenth.
Holt Algebra 2
Holt Algebra 2
1-3
1-3
Square Roots
Square Roots
Check It Out! Example 1
Estimate
to the nearest tenth.
Find the two perfect squares that
<
<
–55 lies between.
< –8
Find the two integers that
–7 <
lies between –
.
Because –55 is closer to –49 than to –64,
is closer to –7
than to –8.
Try 7.2: 7.2
2
= 51.84
Too low, try 7.4
2
7.4
= 54.76
Too low but very close
Because 55 is closer to 54.76 than 51.84,
is closer to 7.4
than to 7.2.
Check On a calculator
≈ –7.4161984 ≈ –7.4
rounded to the nearest tenth.
Holt Algebra 2
Holt Algebra 2
1

ADVERTISEMENT

00 votes

Related Articles

Related forms

Related Categories

Parent category: Education
Go
Page of 4