Real Numbers And The Pythagorean Theorem Worksheet - Chapter 7 Page 7
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46Exercises
7.1
Help with Homework
1.
VOCABULARY
Is 26 a perfect square? Explain.
2.
REASONING
Can the square of an integer be a negative number? Explain.
—
√
3.
NUMBER SENSE
Does
256 represent the positive square root of 256, the
negative square root of 256, or both? Explain.
Find the dimensions of the square or circle. Check your answer.
4.
5.
6.
2
2
2
Area
441 cm
Area
1.69 km
Area
64
in.
r
s
s
s
s
Find the two square roots of the number.
1
1
7. 9
8. 64
9. 4
10. 144
Find the square root(s).
√
√
—
—
—
—
1
9
√
√
12. ±
13. ±
14. −
2 2
—
—
11.
625
196
961
100
—
—
—
—
√
√
√
√
15. ±
17. −
18. −
4.84
16.
7.29
361
2.25
✗
√
19.
ERROR ANALYSIS
Describe and correct
—
1
1
±
=
the error in fi nding the square roots.
—
—
4
2
Evaluate the expression.
√
—
—
—
—
1
(
)
2
(
)
2
√
√
√
+ 5
21. 28 −
16 − 5
23. 10 − 4
20.
9
144
22. 3
—
3 3
16
√
√
—
—
(
)
(
)
—
—
80
147
√
√
6.76 + 5.4
8.41 + 1.8
− 5
+ 3
—
—
24.
25. 8
26. 2
27. 4
5
3
28.
NOTEPAD
The area of the base of a square notepad is
2.25 square inches. What is the length of one side of
the base of the notepad?
r
29.
CRITICAL THINKING
There are two square roots of 25.
Why is there only one answer for the radius of the button?
2
A
25 mm
292
Chapter 7
Real Numbers and the Pythagorean Theorem
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