Simplifying Square Roots
Flashcard
•
Mathematics
•
8th Grade - University
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a square root?
Back
A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 x 3 = 9.
2.
FLASHCARD QUESTION
Front
How do you simplify the square root of a perfect square?
Back
To simplify the square root of a perfect square, find the number that, when squared, equals the original number. For example, √16 = 4.
3.
FLASHCARD QUESTION
Front
What is the square root of 25?
Back
The square root of 25 is 5, because 5 x 5 = 25.
4.
FLASHCARD QUESTION
Front
How do you simplify the square root of a non-perfect square?
Back
To simplify the square root of a non-perfect square, factor the number into its prime factors and look for pairs. For example, √18 = √(9 x 2) = √9 x √2 = 3√2.
5.
FLASHCARD QUESTION
Front
What is the square root of 50 simplified?
Back
The square root of 50 can be simplified to 5√2, because √50 = √(25 x 2) = √25 x √2 = 5√2.
6.
FLASHCARD QUESTION
Front
What does it mean to rationalize the denominator?
Back
Rationalizing the denominator means to eliminate any square roots from the denominator of a fraction. For example, to rationalize 1/√2, multiply the numerator and denominator by √2 to get √2/2.
7.
FLASHCARD QUESTION
Front
What is the square root of 64?
Back
The square root of 64 is 8, because 8 x 8 = 64.
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