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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