Question

Write any three irrational numbers between 2 and 3.​

Answer 1

Answer:

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

.

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