Question

Insert 3 irrational numbers between 11 and 12.

Answer 1

To insert 3 irrational numbers between 11 and 12, we can look for square roots of numbers between 11² = 121 and 12² = 144.

This will give us numbers between whose square roots are irrational.

We are looking for numbers between 121 and 144, so we can choose numbers like: 

• 123 (since `sqrt(123)` is irrational)
• 126 (since `sqrt(126)` is irrational)
• 130 (since `sqrt(130)` is irrational)

The 3 irrational numbers between 11 and 12 are `sqrt(123), sqrt(126), sqrt(130)`