Calculating square roots can either be done by hand or with a calculator. With a calculator, calculating a square root is as easy as pressing the number followed by the square root sign. These numbers are often long and are in decimal form.
To estimate a square root without a calculator, determine the two perfect squares that come before and after the given number. Then using the square roots of the perfect squares as guides, estimate the given number’s square root based on its placement between the two perfect squares.
To calculate the square root of a number in Microsoft Excel, enter "=SQRT(number)" into a blank cell. You can also set up side-by-side columns using the Excel worksheet function, where you can enter a number in one column and the square root appears in the column next to it.
Calculating the root-mean-square speed of a gas requires measurements of the gas's temperature and mass. The formula also requires finding the square root, which can be calculated on a graphing calculator and some simple calculators.
The square root of 1 is 1, just as the square of 1 is 1. The square root of a number finds a result that, when multiplied by itself, equals the original number.
The numerical value of the square root of 11 is approximately 3.317, although the exact number has many more decimal places. Because 11 is a prime number, the square root of 11 cannot be written in a simplified form by factoring out other squared numbers.
The square root of the number 9 is 3. That is worked out by deducing that 3 multiplied by 3, or 3 squared, is 9, so the square root is 3.
The square root of 6, calculated to 11 digits to the right of the decimal point, is 2.44948974278. Because the calculation does not produce a whole number, 6 is not a perfect square. The closest perfect square is 4, which has a square root of 2.
According to Math Warehouse, the square root of eight is 2.82. The square root of eight function can be simplified by factoring out the square of the whole number and rewriting the equation of the square root of four times the square root of two.
The square root of five is 2.236. The square root of a number is any number that, when multiplied by itself, has a product equal to the first number. Thus, 2.236 x 2.236 = 5.