
Introduction to Manipulating Square Roots (Certs)
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Mathematics
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University
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Practice Problem
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a surd?
A fraction
A rational number
An expression with an irrational square root
A whole number
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the first law of surds, what is the result of multiplying the square root of a number by itself?
A fraction
Zero
An irrational number
The original number
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the expression √a * √b be simplified according to the second law of surds?
a * b
a + b
√(a * b)
√(a + b)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of √24 using the second law of surds?
2√6
4√3
3√2
√12
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the expression √a / √b simplified according to the third law of surds?
√(a / b)
√(a * b)
a / b
a * b
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of √(25/49)?
7/5
√7/√5
√5/√7
5/7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you express √27 in terms of √3?
√9 * √3
9√3
√3 * √3
3√3
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