lesson menu main idea and new vocabulary key concept:square root example 1:find square roots example...
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Main Idea and New Vocabulary
Key Concept: Square Root
Example 1: Find Square Roots
Example 2: Find Square Roots
Example 3: Find Square Roots
Example 4: Find Square Roots
Example 5: Use Square Roots to Solve an Equation
Example 6: Real-World Example
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• Find square roots of perfect squares.
• perfect square
• square root
• radical sign
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Find Square Roots
Find .
Answer: 9
Find the positive square root of 81; 92 = 81.
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A. 5
B. 10
C. –10 or 10
D. no real square root
Find .
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Find Square Roots
Find .
Find both square roots of 1.44; 1.22 = 1.44.
Answer: 1.2
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A. 6
B. 0.6
C. 0.6
D. 0.06
Find .
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Find Square Roots
Find .
Answer:
Find the negative square root of
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Find .
A.
B.
C.
D. no real square root
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Find Square Roots
Find .
Answer: There is no real square root because no number times itself is equal to –49.
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A. –11
B. 11 or –11
C. –1.1
D. no real square root
Find .
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Use Square Roots to Solve an Equation
ALGEBRA Solve x2 = 225.
x2 = 225 Write the equation.
x = Definition of square root
Answer: The equation has two solutions,
15 and –15.
x = 15 and –15 Check 15 • 15 = 225 and (–15)(–15) = 225
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A. 20
B. 20 and –20
C. 40 and –40
D. no real square root
ALGEBRA Solve n2 = 400.
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PUZZLE A square puzzle has an area of 35,721 square millimeters. What is the length of a side of the square?
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s2 = 35,721 Write the equation.
35,721 = 3 • 3 • 3 • 3 • 3 • 3 • 7 • 7 Find the prime factors.
= (3 • 3 • 3 • 7)(3 • 3 • 3 • 7) Regroup into two equal factors.
Definition of square root
To find , find two equal factors of 35,721.
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Answer: Since distance cannot be negative, the
length of each side is 189 millimeters.
So, s = 3 • 3 • 3 • 7 or 189.
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A. 57 ft
B. 114 ft
C. 228 ft
D. 6,498 ft
MAZES A square corn maze has an area of 12,996 square feet. What is the length of a side of the square?
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