Question

what is square root? how to do it

Answer 1

Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.

Answer 2

We can take any counting number, square it, and end up with a nice neat number. But the process doesn't always work nicely when going backwards. For instance, consider \sqrt{3\,}3, the square root of three. There is no nice neat number that squares to 3, so \sqrt{3\,}3 cannot be simplified as a nice whole number. We can deal with \sqrt{3\,}3 in either of two ways: If we are doing a word problem and are trying to find, say, the rate of speed, then we would grab our calculators and find the decimal approximation of \sqrt{3\,}3:

\sqrt{3\,} \approx 1.7320508083≈1.732050808