## Square and Square Root of three digit get using formula1

we applied this formula to obtain the square of three digit number

### Example 1:

Square and Square Root of 1142

Firstly we separate the 114 like this (11/4)2
then applied previous formula on it

=112 / 2x11x4 / 42
=112 / 2x11x4 / 16
=121 / 88 / 16
=12996
we apply the formula a2 + 2.a.b + b2
Step 1: note down 6 carry 1
Step 2: add carry 1 to 88 =  89, note down 9 carry 8.
Step 3: add carry 8 to 121 and note down 129
= 12996

Note: we can also separate 114 to find square like (1/14)2

### Example 2:

Square and Square Root of 2232

Firstly we separate the 223 like this(22/3)2

then applied previous formula on it
we apply the formula a2 + 2.a.b + b2
= 222 + 2 x 22 x 3 + 32
=484 / 132 / 9
= 49729

Step 1: note down 9
Step 2:note down 2 carry 13.
Step 3:add carry 13 to 4 = 17, note down 7
Step 4: add carry 1to 48 = 49 put down

= 49729

Note: All this do on your mind which will help in fast calculation to obtain the answer of Square and Square Root of a number.