
Square Roots and Prime Factorization
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a necessary condition for a square root to simplify?
The radicand must be a prime number.
The radicand must contain perfect square factors.
The radicand must be a negative number.
The radicand must be an even number.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the square root of 45?
3 square root 5
5 square root 3
9 square root 5
15 square root 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the product rule for square roots?
The square root of a sum is the sum of the square roots.
The square root of a difference is the difference of the square roots.
The square root of a product is the product of the square roots.
The square root of a quotient is the quotient of the square roots.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a perfect square factor of 8?
6
8
4
2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the square root of 48 be simplified using its prime factors?
8 square root 1
2 square root 12
4 square root 3
6 square root 2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the prime factorization of 48?
3 x 3 x 3 x 2
4 x 4 x 3
2 x 3 x 4 x 4
2 x 2 x 2 x 2 x 3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the prime factorization of 150?
3 x 3 x 5 x 5
2 x 3 x 5 x 5
2 x 5 x 15
3 x 5 x 10
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