Podcast
Questions and Answers
Which of the following values is an example of a surd?
Which of the following values is an example of a surd?
- √4
- 5/2
- √7 (correct)
- 2.5
Which of the following is the definition of a surd?
Which of the following is the definition of a surd?
- A value that is a perfect square
- A value that can be simplified into a whole or rational number
- A value that can be accurately represented in a fraction
- A value that has an irrational value (correct)
What is the simplified form of √18?
What is the simplified form of √18?
- √6
- √9
- √12 (correct)
- √16
Which of the following is NOT a type of surd?
Which of the following is NOT a type of surd?
What is the value of √(12 / 121)?
What is the value of √(12 / 121)?
Flashcards
Surd
Surd
A number that cannot be expressed as a simple fraction, and its decimal representation continues infinitely without repeating.
Simplifying a Surd
Simplifying a Surd
A surd is simplified when the number under the radical sign has no perfect square factors larger than 1.
What is a surd?
What is a surd?
A number that has an irrational value, meaning it cannot be expressed as a simple fraction.
What is a surd?
What is a surd?
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Why √4 isn't a surd
Why √4 isn't a surd
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Study Notes
Surds
- A surd is an irrational root of a whole number that cannot be further simplified
- Examples of surds include: √2, √3, √5, etc.
Simplifying Surds
- The simplified form of √18 is 3√2 (since √18 = √(9 × 2) = √9 × √2 = 3√2)
- The value of √(12 / 121) is √(1/11) = 1/√11 (since √(a/b) = √a / √b)
Types of Surds
- There are two types of surds: pure surds (e.g. √2, √3) and mixed surds (e.g. 2√2, 3√5)
- Note: Simplified surds are always in the form of a rational number multiplied by a pure surd
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Description
Test your knowledge on surds with this quiz! Learn about the definition, types, rules, and solve problems related to surds. Challenge yourself to identify irrational numbers and practice simplifying surds.
