Question

Find an irrational number between 3 & 5.

• A. √6
• B. √7
• C. √15
• D. √16

Answer 1

The correct option is

B

√15

A) $\sqrt{6}=2.45$

It does not lie between 3 and 5

B) $3\times 5=15$, not a perfect square,

And $\sqrt{15}=3.87$,

hence $3<\sqrt{15}<5$.

C) $\sqrt{7}=2.645$

It does not lie between 3 and 5.

D) $\sqrt{16}=\sqrt{4\times 4}=4$

4 is not irrational number.

So, correct option B is correct.