Inset a rational number and an irrational number between the following (i) 2 and 3 , (ii) 0 and 0.1, (iii) `1/3 and 1/2` (iv) `(-2)/5 and 1/2 ` , (v) 0.15 and 0.16 , (iv) `sqrt6 and sqrt3` (vii) 2.357 and 3.121 , (vii) .0001 and .001 (ix) 3.623623 and 0.484848 , (x) 3.375289 and 6.375738
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AI Generated Solution
To find a rational number and an irrational number between the given pairs of numbers, we can follow these steps:
### (i) Between 2 and 3
1. **Rational Number**: Choose 2.5 (which is a simple fraction 5/2).
2. **Irrational Number**: Choose √(6) (approximately 2.449).
### (ii) Between 0 and 0.1
1. **Rational Number**: Choose 0.04 (which is 4/100).
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