Simplifying Square Roots
Flashcard
•
Mathematics
•
7th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a square root?
Back
A square root of a number x is a number y such that y² = x. For example, the square root of 9 is 3 because 3² = 9.
2.
FLASHCARD QUESTION
Front
How do you simplify a square root?
Back
To simplify a square root, factor the number under the square root into its prime factors and look for pairs of factors. Each pair can be taken out of the square root as a single factor.
3.
FLASHCARD QUESTION
Front
What is the square root of 12 simplified?
Back
The square root of 12 can be simplified to 2√3, since 12 = 4 * 3 and √4 = 2.
4.
FLASHCARD QUESTION
Front
What is the square root of 10√2?
Back
The expression 10√2 is already in its simplest form. It represents 10 times the square root of 2.
5.
FLASHCARD QUESTION
Front
What is the square root of 2√3?
Back
The expression 2√3 is already in its simplest form. It represents 2 times the square root of 3.
6.
FLASHCARD QUESTION
Front
What is the square root of 2√5?
Back
The expression 2√5 is already in its simplest form. It represents 2 times the square root of 5.
7.
FLASHCARD QUESTION
Front
What is the product of two square roots?
Back
The product of two square roots can be simplified using the property √a * √b = √(a*b). For example, √2 * √3 = √6.
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