
Simplifying Square Roots and Prime Numbers
Interactive Video
•
Mathematics
•
7th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key concept when simplifying the square root of a product of two numbers?
Adding the square roots of the numbers
Dividing the square roots of the numbers
Multiplying the square roots of the numbers
Subtracting the square roots of the numbers
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to simplify the square root of 180 in Example 1?
Long division
Prime factorization
Completing the square
Synthetic division
Tags
CCSS.4.OA.B.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a prime number?
A number divisible by any number
A number divisible by 1, 2, and 3
A number divisible by 2 and 3
A number divisible by 1 and itself
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Example 2, what is the first step in simplifying the square root of 120a^2b^5c^4?
Adding all the exponents
Multiplying all the terms
Prime factorization of 120
Dividing by the largest factor
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many prime factors of 2 are there in the prime factorization of 120?
One
Two
Three
Four
Tags
CCSS.8.EE.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the square root of 120a^2b^5c^4?
2a|b^2|c^2√30b
5a|b^2|c^2√30b
4a|b^2|c^2√30b
3a|b^2|c^2√30b
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do we use absolute values when simplifying square roots of squared variables?
To ensure the result is always positive
To make calculations easier
To avoid complex numbers
To simplify the expression further
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