2.7182818284.
Between which two square roots of integers could you find this number?
I would square the given number, then take the integer on either side of the answer.
To determine between which two square roots of integers the number 2.7182818284 lies, we can calculate the square roots of consecutive integers and compare them to the given number.
1. Start by calculating the square root of the smallest integer greater than 2.7182818284. In this case, the smallest integer greater than the given number is 3, so we calculate the square root of 3: √3 ≈ 1.7320508076.
2. Next, calculate the square root of the largest integer smaller than 2.7182818284. The largest integer smaller than the given number is 2, so we calculate the square root of 2: √2 ≈ 1.4142135624.
3. Now we have two square roots of integers: √2 ≈ 1.4142135624 and √3 ≈ 1.7320508076.
Therefore, the number 2.7182818284 lies between the square roots of 2 and 3, which are approximately 1.4142135624 and 1.7320508076, respectively.