How do you find the nearest integer? ( for √ expressions?)

just use rounding

e.g.
√56 = 7.48...
so to the nearest integer √56 = 7
√78 = 8.83...
so to the nearest integer √78 = 9

To find the nearest integer for square root (√) expressions, you have two options:

1. Use a calculator or math software: This is the easiest and most accurate way to find the nearest integer. Simply input the √ expression into a calculator or math software, and it will provide you with the precise value of the square root. You can then round this value to the nearest integer.

2. Use a table of values: If you don't have access to a calculator or math software, you can use a table of square roots to approximate the nearest integer. Look for the closest value to the square root of the given expression in the table. This may not be as precise as using a calculator, but it can give you a rough estimate.

For either method, keep in mind that rounding rules apply. If the decimal portion of the square root is less than 0.5, round down to the nearest integer. If it is 0.5 or greater, round up to the nearest integer.