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Over Chapter 9
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 10a2b3
B. 52a2b3
C. 10ab5
D. 5ab5
Write 5 ● 5 ● a ● a ● b ● b ● b using exponents.
You have already evaluated expressions containing squares of numbers. (Previous Course – Area of Squares!)
• Find square roots.
• Estimate square roots.
• perfect square
• square root
• radical sign
Rational number whose square root is a whole number (you get no decimal places).
One of two equal factors of a number.
The symbol √ used to indicate a nonnegative square root
Find Square Roots
Answer: There is no square root because no number times itself is equal to –9.
D.
A. A
B. B
C. C
D. D
A. 12
B. –12
C. –72
D. –20,736
B.
A. A
B. B
C. C
D. D
A. 4
B. –4
C. 4 and –4
D. 256 and –256
C.
A. A
B. B
C. C
D. D
A. –8
B. 8
C. –32
D. There is no real square root.
D.
Estimate Square Roots
Answer: 5
A.
The first perfect square less than 22 is 16.
The first perfect square greater than 22 is 25.
B.
Estimate Square Roots
Answer: –18
The first perfect square less than 319 is 289.
The first perfect square greater than 319 is 324.
Use a Calculator to Estimate a Square Root
Use a calculator.
Round to the nearest tenth.
Check for Reasonableness Since 82 = 64, the answer is reasonable.
ENTER2nd 57 7.549834435
Use a Calculator to Estimate a Negative Square Root
Use a calculator.
Round to the nearest tenth.
Check for Reasonableness Since 72 = 49, the answer is reasonable.
ENTER2nd 42 6.480740698
A. A
B. B
C. C
D. D
A. 3.9
B. 9.8
C. 38.5
D. There is no real square root.
A. A
B. B
C. C
D. D
A. –8.5
B. –36.0
C. 8.5
D. There is no real square root.
Use Square Roots to Solve Problems
SKYSCRAPER The tallest building in Houston, Texas, is the JP Morgan Chase Tower, standing at 1002 feet. About how far to the horizon can a person standing on the top floor see? Round your answer to the nearest tenth.
Replace h with 1002.
Evaluate the square root first.
Write the formula.
Use Square Roots to Solve Problems
≈ 38.6 Multiply.
Answer: On a clear day, a person could see about 38.6 miles.
A. A
B. B
C. C
D. D
A. 23.2 miles
B. 23.3 miles
C. 23.7 miles
D. 24.4 miles
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