Question

There is a famous irrational number called Euler’s number, often symbolized with an e. Like π, it never seems to end. The first few digits of e are 2.7182818284.

Between which two square roots of integers could you find this number?

Answer 1

7 and 8

e lies between √7 and √8

Explanation:

We have e ≈ 2.7182818284

e² ≈ 2.7182818284³ ≈ 7.38905

So e² must lie between 7 and 8

There e must lie between √7 and √8

Therefore the two integers between which whose square roots e lies iare 7 and 8