Question

Insert two irrational numbers between the following:

6 and 7

Answer 1

To find two irrational numbers between 6 and 7, we can take the square roots of numbers that lie between 36 and 49, since:

• 6² = 36
• 7² = 49

The square roots of numbers between 36 and 49 that are irrational are:

• `sqrt(40) ≈ 6.324`
• `sqrt(47) ≈ 6.855`

These numbers are irrational and lie between 6 and 7.