Here are some of the Squares Tricks which you might find useful next time you go for an exam.

**Shortcut tricks to find square of numbers which is nearer to 10**^{x}

Trick is **X**^{2} = (X+Y)(X-Y) + Y^{2 }

Here X is the actual number whose square we want to calculate.

To apply this trick we have to find out the value of ‘Y’. Let’s understand with the help of examples.

**Calculate square of 98**

Let’s apply the above trick. We know that by adding 2 in 98, we get 100. Therefore value of Y is 2.

Thus,

98^{2 }= (98+2)(98-2) + 2^{2 }= 100 x 96 + 4 = 9604
**Calculate square of 103**

Let’s apply the above trick. We know that by subtracting 3 from 103, we get 100. Therefore value of Y is 3.

Thus,

103^{2}=(103-3)(103+3)+3^{2}=10600+9=10609

**Tricks to find out the value of a perfect square**

This is a four step trick. Let’s understand it with the help of an example.

**Trick to find square of numbers between 40 and 50**

Let’s understand this trick with the help of examples below:

**Calculate square of 46**
**Step 1: **Subtract 46 from 50 i.e. 50-46 = 4
**Step 2:** Now subtract result of step 1 from 25 i.e. 25-4 = 21

21 will be the first two digits of our answer.
**Step 3: **Now square the number obtained in step 1 i.e.

4^{2} = 16 (This will be last two digits of our answer)

Therefore, answer is 46^{2} = 2116.

**Trick to find square of numbers between 51 and 59**

There are two methods to calculate the square of numbers between 51 and 59. Let’s apply these methods to calculate the square of 57.

**Method 1:**
**Step 1: **Subtract 50 from 57 i.e. 57-50 = 7
**Step 2: **Now add result of step 1 to 25 i.e. 25+7 = 32

32 will be the first two digits of our answer.
**Step 3: **Now square the number obtained in step 1 i.e.

7^{2} = 49 (This will be last two digits of our answer)Therefore, answer is 57^{2} = 3249.

**Method 2:**

Here trick is** ****5A**^{2}=25+A/A^{2}