I need ansewer asap

There are a famous irrational nummber calld euler's number,often symbolized with an e. Like pie it never seems to end. The first few digits of e are 2.7182818284.

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

Between which two squarw roots integers can you find pie

? < e^2 < ?

? < π^2 < ?

its 5

To determine between which two square roots of integers you can find Euler's number (e), you would need to calculate the square roots of consecutive perfect squares until you find the range where e falls.

To do this, you can start from the smallest perfect square greater than or equal to e and calculate its square root. Similarly, find the square root of the next consecutive perfect square. Once you have these two square roots, you will have the range in which e lies.

Let's calculate it step by step:

1. Calculate the square root of the smallest perfect square greater than or equal to e:
- The smallest perfect square greater than or equal to e is 3^2 = 9.
- The square root of 9 is 3.

2. Calculate the square root of the next consecutive perfect square:
- The next perfect square after 9 is 4^2 = 16.
- The square root of 16 is 4.

Therefore, Euler's number (e) lies between the square roots of 9 and 16.

Now, let's determine between which two square root integers you can find the value of pi (π) in a similar manner:

1. Calculate the square root of the smallest perfect square greater than or equal to π:
- The smallest perfect square greater than or equal to π is 3^2 = 9.
- The square root of 9 is 3.

2. Calculate the square root of the next consecutive perfect square:
- The next perfect square after 9 is 4^2 = 16.
- The square root of 16 is 4.

Therefore, pi (π) lies between the square roots of 9 and 16.

Please note that both e and π are transcendental numbers and cannot be represented exactly as the square root of an integer. So, while this method helps determine the range, the exact values of e and π cannot be expressed as a ratio of two integers.