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Question detail

Define an irrational number and explain why √2 is an example.

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

Question

Type

practice

Style

Topic

Number systems

Exam-style question

Try this first

Define an irrational number and explain why √2 is an example.

Model answer

What a good answer should say

  • An irrational number is a number that cannot be written as a fraction.
  • √2 is an example of an irrational number because it cannot be written as a fraction.

Explanation

Why this works

A complete answer must give both the definition and the example's classification. It should link √2 to the defining property of irrational numbers: not being expressible as a fraction.

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