Question

Write an irrational no. between 2 and 9/2

Answer 1

An irrational number is a number which cannot be expressed in the form p/q.

The irrational numbers between 2 and 9/2 will be √5,√6,√7,√8,√10,√11,√12,√13,√14,√15,√17,√18,√19,√20.

Answer 2

√5 , √6 , √7 , √8  , √10 , √11 , √12 , √13 , √14 , √15 , √17 , √18 , √19 , √20 are irrational no. between 2 and 9/2

Step-by-step explanation:

an irrational no. between 2 and 9/2

2  <  n <  9/2

Squaring both sides

=> 2² < n² < (9/2)²

=>  4 <  n² < 81/4

=> 4  < n² < 20.25

n² = 5 , 6 , 7 , 8  , 10 , 11 , 12 , 13 , 14 , 15 , 17 , 18 , 19 , 20

9 & 16 are perfect Square hence ignored

n = √5 , √6 , √7 , √8  , √10 , √11 , √12 , √13 , √14 , √15 , √17 , √18 , √19 , √20

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