Draw three columns on a sheet of paper and label one column 'Number', another column 'Square' and the last column 'Square Root'. You do not have to add the third column unless you want to, as this column requires a calculator to fill out.
List the numbers you'd like to find the squares and square roots (optional) of starting with the lowest number and working to the highest number in the first column labeled 'Number'. You can go to any number you'd like or you think you're likely to need to reference most frequently. A good number to begin with would be 25, or if you're feeling more ambitious, 50 or 100.
Calculate the square of the first number and write it in the second column labeled 'Square Root'. Find the square by multiplying the number by itself. For example, if the first number was 1, you'd multiply 1 by 1 to get 1.
Repeat Step 3 for every number following your first number. For example, if the second number was 2, you'd multiply 2 by 2 to get 4 and write the number 4 in the space next to 2 in the column labeled 'Square'. The first two columns should be completed by the time you finish.
Fill in the third column by calculating the square root of the number with your calculator. This calculation does not really require a calculator with the perfect squares like 1, 4, 9, etc., but becomes quite difficult with non-perfect squares because they result in decimals. For example, the square root of 1 is 1, but the square root of the next number, 2, is 1.414.