Question

Between which two square roots of integers could you find Euler's number (2.7182818284...)?

Answer 1

The square root of 7 is roughly 2.6
The square root of 8 is roughly 2.8

Hence Euler's number is between $\sqrt{7}$ and $\sqrt{8}$.

Answer 2

Between the square roots of 7 and 8

e^2 = 7.38 roughly