Download Square Roots and Cube Roots

Math 10
Ch 4. Exponents and Radicals
Lesson 4-2
Lesson 4-2: Square and Cube Roots
Warmup - Divisibility Rules
A number is divisible by 2 if _____________________________________________________
A number is divisible by 3 if _____________________________________________________
A number is divisible by 5 if _____________________________________________________
#1 Identify which of the following numbers are divisible by 2, 3, or 5?
a) 729
b) 900
c) 310
d) 918
e) 1001
#2 Write the prime factorization for:
a) 2025
b) 356
Definitions:
Perfect Square:
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Square Root:
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Perfect Cube:
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Cube Root:
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Terminology:
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Math 10
Ch 4. Exponents and Radicals
Ex. #1
Is 121 a perfect square? How do you know (three different ways?)
Ex. #2
Is 36 a perfect square? If it is, demonstrate using prime factorization.
Ex. #3
Is 729 a perfect cube? If it is, what is the cube root of 729?
Ex. #4
Are either of the following numbers a perfect square or a perfect cube?
a) 125
b) 225
Lesson 4-2
c) 196
Question: Can you think of any numbers that are both perfect squares and perfect cubes?
Ex. #5
The volume of a cubic box is 216 cm 3 . Find the dimensions of the box.
Ex. #6
Yves needs to buy flooring for a square living room with an area of 289 m 2 .
a) What are the dimensions of the room?
b) If hardwood flooring costs $4.69 per square meter, what will the cost of the living room flooring be?
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