9.1E: Exercises
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Practice Makes Perfect
Simplify Expressions with Square Roots
In the following exercises, simplify.
√36
- Answer
-
6
√4
√64
- Answer
-
8
√169
√9
- Answer
-
3
√16
√100
- Answer
-
10
√144
−√4
- Answer
-
−2
−√100
−√1
- Answer
-
−1
−√121
√−121
- Answer
-
not a real number
√−36
√−9
- Answer
-
not a real number
√−49
√9+16
- Answer
-
5
√25+144
√9+√16
- Answer
-
7
√25+√144
In the following exercises, estimate each square root between two consecutive whole numbers.
√70
- Answer
-
8<√70<9
√55
√200
- Answer
-
14<√200<15
√172
In the following exercises, approximate each square root and round to two decimal places.
√19
- Answer
-
4.36
√21
√53
- Answer
-
7.28
√47
Simplify Variable Expressions with Square Roots
In the following exercises, simplify.
√y2
- Answer
-
y
√b2
√a14
- Answer
-
a7
√w24
√49x2
- Answer
-
7x
√100y2
√121m20
- Answer
-
11m10
25h44
√81x36
- Answer
-
9x18
√144z84
−√81x18
- Answer
-
−9x9
−√100m32
−√64a2
- Answer
-
−8a
−√25x2
√144x2y2
- Answer
-
12xy
√196a2b2
√169w8y10
- Answer
-
13w4y5
√81p24q6
√9c8d12
- Answer
-
3c4d6
√36r6s20
Everyday Math
Decorating Denise wants to have a square accent of designer tiles in her new shower. She can afford to buy 625 square centimeters of the designer tiles. How long can a side of the accent be?
- Answer
-
25 centimeters
Decorating Morris wants to have a square mosaic inlaid in his new patio. His budget allows for 2025 square inch tiles. How long can a side of the mosaic be?
Writing Exercises
Why is there no real number equal to √−64?
- Answer
-
Answers will vary.
What is the difference between 92 and √9?
Self Check
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

ⓑ On a scale of 1–10, how would you rate your mastery of this section in light of your responses on the checklist? How can you improve this?