Question

Find three rational and three irrational numbers between (i) -1 and 2 (ii) 0.1 and 0.11 (iii) 5/7 and 6/7 (iv) 1/4 and 1/5 (v) √2 and √3

Answer 1

Answer:

So 3 rational numbers could be 6.825, 7.15 and 7.475. Now the irrationals. Square both numbers: 42.25 and 60.84. If we take any three numbers between these limits (excluding perfect squares) and then take the square root of the numbers we will get 3 irrational numbers.