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Surds

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Questions and Answers

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?

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?

√6

√9

√12 (correct)

√16

Which of the following is NOT a type of surd?

<p>√4</p> Signup and view all the answers

What is the value of √(12 / 121)?

<p>√(1/11)</p> Signup and view all the answers

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.