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  • Which of the following is irrational?

Which of the following is irrational?

(A) \sqrt{\frac{4}{9}}

(B) \frac{\sqrt{12}}{\sqrt{3}}

(C) \sqrt{7 }

(D) \sqrt{81}

Answers (1)

Answer: [C]

Solution.

Irrational numbers are real numbers which cannot be represented as simple fractions.
Examples: \sqrt{2},\sqrt{3},\pi
 \sqrt{\frac{4}{9}}=\frac{2}{3} (rational)
 \frac{\sqrt{12}}{\sqrt{3}}=\frac{2\sqrt{3}}{\sqrt{3}}=2 (rational)
 \sqrt{81}=9 (rational)
but \sqrt{7} is an irrational number.
Therefore option (C) is correct.

Posted by

infoexpert26

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