Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots...
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Transcript of Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Square Root Example 1:Find Square Roots...
Main Idea and New Vocabulary
NGSSS
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
Five-Minute Check
• Find square roots of perfect squares.
• perfect square
• square root
• radical sign
MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.
Find Square Roots
Find .
Answer: 9
Find the positive square root of 81; 92 = 81.
Find Square Roots
Find .
Find both square roots of 1.44; 1.22 = 1.44.
Answer: 1.2
Find Square Roots
Find .
Answer: There is no real square root because no number times itself is equal to –49.
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
A. 20
B. 20 and –20
C. 40 and –40
D. no real square root
ALGEBRA Solve n2 = 400.
PUZZLE A square puzzle has an area of 35,721 square millimeters. What is the length of a side of the square?
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.
Answer: Since distance cannot be negative, the
length of each side is 189 millimeters.
So, s = 3 • 3 • 3 • 7 or 189.
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?
A. 13
B. 14
C. 15
D. 25
The chairs in the multi-purpose room of a school need to be arranged in a square. There are 225 chairs. How many chairs should be in each row?