5 Questions
Which of the following values is an example of a surd?
√7
Which of the following is the definition of a surd?
A value that has an irrational value
What is the simplified form of √18?
√12
Which of the following is NOT a type of surd?
√4
What is the value of √(12 / 121)?
√(1/11)
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
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.
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