This square root calculator calculates the square root of any given positive number with or without decimals. You can read more about the steps applied below the tool.

Pick a positive number: *

How does this square root calculator work?

The square root means the number that multiplied by itself is equal to the initial number. For instance square root of 36 is 6, because 6 multiplied by 6 equals 36.

In case of perfect square numbers the square root calculation is quite easy to perform because it is observable which number multiplied by itself is equal to a specific number, while in cases of numbers not perfect square is a bit more complicated as explained here:

Step 1: try to find the closest two perfect square roots that include the given number for which you are about to calculate the square root. For instance calculating the square root for 29 means that by this step the 2 closest perfect square roots are 5 (for 25) and 6 (36). Since the given number we are about to find the square root is 29 the first digit from our square root is 5 (because 6 multiplied by itself it would be greater than our number in this case 29).

Step 2: divide the initial number by the square root chosen at step 1. In our example is 29/5=5.8

Step 3: Calculate the average between the number obtained at step 2 (5.8) and the square root chose at step 1 (5). In our case the average is (5+5.8)/2=5.4

Step 4: The average number obtained by step 3 should be used to repeat the steps 2 and 3 until getting the accuracy you would like from your square root.

13 Apr, 2015