Irrational Numbers

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Irrational Numbers: Overview

This topic explains the properties of irrational numbers. It also provides the steps to prove that a number is irrational using the Fundamental Theorem of Arithmetic.

Important Questions on Irrational Numbers

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Locate 9 on number line.

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The irrational number between 2 and 2.5 is 

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Which of the following is an irrational number?

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Which of these is an irrational number?

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The length of the diagonal of a unit square is a rational number.

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Prove that the length of the diagonal of a unit square is an irrational number.

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Why all irrational numbers are not transcendental?

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The decimal expansion of an _____ number is non-terminating and non-repeating.

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The decimal representation of the rational number is

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Which of the following is not an irrational number?

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What is an irrational number? Give an example.

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On a number line locate 2​ .

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 3×2 is a ______ number.

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Write if 2π is a irrational or not.

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 123 is _____ number.

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The number 12 is an irrational number.

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0’ is an irrational number.

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The length of the diagonal of a square having sides of unit length is a irrational number.

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All irrational numbers are transcendental numbers.

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Transcendental numbers are _____.