In this article I am going to talk about square **root** calculator. A square **root** calculator calculates square **root** of any number of the form x2 = a

For example: 5 is a square **root** of 25 because 52 = 25

A square is a non negative real number, and square **root** is any integer other than zero. We can understand this with an example:

√25 = 5 .This is also equal to 52 = 5 x 5 = 25 and here 5 is nonnegative. This **root** is considered as radicand.

We know every positive number has two square roots, first positive (√a), and another is negative (-√a)

Like above sentence we can say any negative number’s square is always positive. Suppose we have any negative number which is -4 then square **root** of this number is 16 which is positive. This holds true for all negative numbers’ squares.

√a can be written in exponent notation a1/2 .

In mathematics all numbers are not square roots or perfect squares. We can show this by square **root** calculator.

So now we see the Square root calculator based examples:

Example: calculate the square **root** of 10 (√10) correct to one decimal point.

Solution: for square **root** problem we will follow the below steps in the square **root** calculator

Step 1: First we find the two perfect square numbers which lie around 10.

32 = 9 and 42 = 16, here we can see that √10 is lies between 3 and 4,

Step 2: Now we divide 10 by 3

10/3 = 3.3 (you can round off your getting value)

Step 3: In this step we find the average of divide **value** and round off value

Now average = (3.3 + 3)/2 = 3.15

Then we again divide 10 by getting value: 10 / 3.15 = 3.17

Now we again average of getting **value** 3.17 and previous average **value** 3.15

**Average** = (3.15 +3.17)/2 = 3.16

Now we check the square of 3.16 = 9.99 that is not accurate **value** so we check for 2 decimal places.

In this way we can say that square **root** 10 in one decimal .We can’t get the accurate **value**. So we solve this **value** in two decimal numbers

Step 4: in this step we repeat the step 2 means we divide 10 by 3

10/3 = 3.33 (round off the getting value)

Step 5: in this step we repeat the step 3 and find the average for round of **value** and another two decimal point value

**Average** = (3.33 + 3)/2 = 3.165

Now we again divide 10 by average **value** 3.165 = 10 /3.165 = 3.159

Step 6: in this step we again find the average between above getting **value** and above average value

**Average** = (3.165 +3.159)/2 = 3.162

In this average we can see that square of 3.162 is equal to 9.998 which is equivalent to 10.000

Now we have got the accurate **value** of 10.

So that was the square **root** calculator with all steps.

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Learn how to find square roots on a basic scientific calculator.