Question

Find atleast two irrational numbers between 2 and 3

Answer 1

Powers of
2
are
2
,
4
,
8
,
16
,
32

and powers of
3
are
3
,
9
,
27
,
81
,
243

Hence
√
7
,
3
√
17
,
4
√
54
and
5
√
178
are all irrational numbers between
2
and
3
,

as
4
<
7
<
9
;
8
<
17
<
27
;
16
<
54
<
81
and
32
<
178
<
243
.

Answer 2

2 and 3 have unlimited irrational numbers between them..
so of them are...
√5 , √6 , √7
OR
2.344467732929................. , 2.890789972888........ , 2.906628829..........