Describe how you would estimate a square root of a number that is not a perfect square without using a calculator
To estimate a square root of a number without using a calculator, you can use the following steps:
1. Find the two perfect squares that the number is between.
2. Take the average of the two perfect squares.
3. Use this average as an estimate for the square root of the number.
For example, if you wanted to estimate the square root of 24, you would find that the two perfect squares that 24 is between are 16 and 25. The average of 16 and 25 is 20.5, so the estimated square root of 24 is 20.5.