Question

2 and root 5 irrational no. Beetween these numb

ers

Answer 1

$\textbf{ Hello Mate! }$

In order to find an irrational number we can use method,

$= \sqrt{ab}$

Here,

$a = 2 \\ b = \sqrt{5}$

Why we do underroot of a × b?

Because roots always give irrational values except perfect squares.

Here, 2 × root 5 is not perfect square.

So, an irrational number in between them can be,

$= \sqrt{2 \times \sqrt{5} }$
Or in exponential form,

$= {2}^{ \frac{1}{2} } \times {5}^{ \frac{1}{4} }$

Have great future ahead!