Algebra: Manipulating Surds
Interactive Video
•
Mathematics, Science
•
10th - 12th Grade
•
Practice Problem
•
Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of √45?
3√5
5√3
√9 + √5
9√5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you express √20 in terms of √5?
5√2
4√5
√4 + √5
2√5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of adding 3√5 and 2√5?
5√5
6√5
√25
5√10
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in rationalizing the denominator of 2/(√3 - 1)?
Multiply by 2
Multiply by √3 - 1
Multiply by √3 + 1
Multiply by 1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After rationalizing the denominator, what is the simplified form of 2/(√3 - 1)?
1 - √3
√3 - 1
2 + √3
1 + √3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the expression 2/(√3 - 1), what is the purpose of multiplying by the conjugate?
To change the sign of the numerator
To add a surd to the numerator
To simplify the numerator
To eliminate the surd in the denominator
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in completing the square for X^2 + 6√2X - 1?
Add 6√2
Subtract 1
Expand the expression
Set up two brackets
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