# 2.6 Recognizing Square Root and Cube Root Values on a Number

```Chapter 2 Roots
2.6
Recognizing Square Root and Cube Root Values on a Number Line
Square root values can be plotted on a number line. Study the example below.
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Example 11:
Plot the value of 3 on the number line below.
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Step 1:
We learned on page 36, that 3 is around 1=75.
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Step 2:
Plot 3 around 1=75.
0
1
2
3
4
Plot and label the following values on the number lines given below.
0
1.
L=
1
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2
M=
2
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5
N=
3
s
6
O=
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8
Look at the number line below. Match the letter of the number to each of the problems below.
You may use a point more than once.
2. Which point is closest to the value of
3. Which point is
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64?
6. Which point is
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121?
7. Which point is closest to the value of
4. Which point is closest to the value of
5. Which point is
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52?
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81?
s
125?
8. Which point is
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49?
9. Which point is closest to the value of
Cube root values can also be plotted on a number line. Study the example below.
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Example 12:
Plot the value of 3 56 on the number line below.
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Step 1:
We learned on page 37, that 3 56 is around 3=85.
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Step 2:
Plot 3 56 around 3=85.
0
38
1
2
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