What does it mean to take the square root of a fraction?

Rationalizing the Denominator in Radical Expressions

Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Hard

Emma Peterson
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Taking the square root of the numerator and the denominator separately.
Multiplying the numerator and denominator by the same number.
Subtracting the square root of the denominator from the square root of the numerator.
Adding the square roots of the numerator and the denominator.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the square root of 9 over 16?
2/3
1/2
4/3
3/4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the square root of x^4 over the square root of 25?
x^2/5
x^4/25
x^2/25
x/5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in rationalizing the denominator of 3 over the square root of 2?
Divide by the square root of 2.
Multiply by 2.
Multiply by the square root of 2 over the square root of 2.
Add the square root of 2.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of 2 over the square root of 5 after rationalizing the denominator?
5/2√5
2/√5
√5/2
2√5/5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a correct method to simplify the square root of 9 over the square root of 18?
Add the square roots of the numerator and the denominator.
Multiply the numerator and denominator by 2.
Combine the fractions under one square root.
Subtract the square root of the denominator from the square root of the numerator.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the square root of 1/2?
1/√2
2/√2
√2/2
√2
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