Question

find four 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

hey dear your answer is here:-

formula to find rational numbers between 2 & 3
= a+b/2
2+3/2= 5/2 --1

2+5/2 ÷ 2
4+5/2÷2= 4+5/2*2= 9/4. ---2

2+9/4÷ 2
8+9/4÷ 2
17/2*4= 17/8. ---3

2+17/8÷2
16+17/8÷2
33/2*8
= 33/16. ------4

the rational number between 2&3=
2 < 5/2 < 9/4 < 17/8 < 33/6 < 3

hope it helps