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Multiplication and Division of Surds

√2 is not an ...

Question

$\sqrt{2}$ is not an irrational number.

A

True

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B

False

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Solution

The correct option is B False

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Q. Give two irrational numbers so that their.
(i) sum is an irrational number.
(ii) sum is not an irrational number.
(iii) difference is an irrational number.
(iv) difference is not an irrational number.
(v) product is an irrational number.
(vi) product is not an irrational number.
(vii) quotient is an irrational number.
(viii) quotient is not an irrational number.

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Statement 2: The difference of two irrational numbers may or may not be irrational.

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