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Introduction: Rational Numbers

Which of the ...

Question

Which of the following are irrational numbers?
I. $\sqrt{3}$
II. $0.14332$
III. $5.46$
IV. $\sqrt{5}$

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Solution

The correct option is c.

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Similar questions

Q. Show that the following numbers are irrational.
(i)

\frac{1}{\sqrt{2}}

7 \sqrt{5}

6 + \sqrt{2}

3 - \sqrt{5}

Q. Examine whether the following numbers are rational or irrational:

(i)

(5 - \sqrt{5}) (5 + \sqrt{5})

{(\sqrt{3} + 2)}^{2}

\frac{2 \sqrt{13}}{3 \sqrt{52} - 4 \sqrt{117}}

\sqrt{8} + 4 \sqrt{32} - 6 \sqrt{2}

Q. Giving reason in each case, show that each of the following numbers is irrational.
(i)

4 + \sqrt{5}

(- 3 + \sqrt{6})

5 \sqrt{7}

- 3 \sqrt{8}

\frac{2}{\sqrt{5}}

\frac{4}{\sqrt{3}}

Q. Prove that each of the following numbers is irrational:

(i)

\sqrt{6}

(2 - \sqrt{3})

(3 + \sqrt{2})

(2 + \sqrt{5})

(5 + 3 \sqrt{2})

3 \sqrt{7}

\frac{3}{\sqrt{5}}

(2 - 3 \sqrt{5})

(\sqrt{3} + \sqrt{5})

Q. Prove that following numbers are irrationals:
(i)

\frac{2}{\sqrt{7}}

\frac{3}{2 \sqrt{5}}

4 + \sqrt{2}

5 \sqrt{2}

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