Two irrational number between 2 and 2.5 are :-

\sqrt{5}

and

\sqrt{2 \times \sqrt{5}}

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\sqrt{5}

and

\sqrt{2 \times 5}

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\sqrt{5}

and

\sqrt{2 \times \sqrt{7}}

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None of these

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Solution

The correct options are
A $\sqrt{5}$ and $\sqrt{2 \times \sqrt{5}}$
C $\sqrt{5}$ and $\sqrt{2 \times \sqrt{7}}$
$\sqrt{4} = 2 a n d \sqrt{9} = 3 H e n c e, t h e s q u a r e r o o t o f a l l t h e n u m b e r b e t w e e n 4 a n d 9 l i e b e t w e e n 2 a n d 3. \sqrt{5} = 2.236 a n d \sqrt{7} = 2.6457 \sqrt{2 t i m e s \sqrt{5}} = \sqrt{4.46} < 2.236 (\sqrt{5}) \sqrt{2 t i m e s \sqrt{7}} = \sqrt{5.28} < 2.645 (\sqrt{7}) O p t i o n A a n d C a r e c o r r e c t .$

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Similar questions

An irrational number between 5 and 6 is

(a) $\frac{1}{2} (5 + 6)$ (b) $\sqrt{5 + 6}$ (c) $\sqrt{5 \times 6}$ (d) none of these

An irrational number between 2/5 and 3/7 is:

\frac{1}{5}

\frac{2}{7}

7 + 5 \sqrt{2}

- 3 + 5 \sqrt{2}

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