Question

Write a rational number between √5 and √6

Answer 1

Answer:

7 / 3

Step-by-step explanation:

How to find a simple answer like this?

Let x be the number we want.

So √5 < x < √6

⇒ 5 < x² < 6

⇒ 9×5 < 9×x² < 9×6

⇒ 45 < (3x)² < 54

So taking (3x)² = 49 would work.

That corresponds to 3x = 7, so x = 7/3.

Hope that helps.