## 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 114 ^{2}**

**Answer :**

Firstly **we separate **the 114 like this (11/4)^{2}

then applied previous formula on it

=11^{2} / 2x11x4 / 4^{2}

=112 / 2x11x4 / 16

=121 / 88 / 16

=12996

we apply the formula a^{2} + 2.a.b + b^{2}

**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 223 ^{2}**

**Answer :**

Firstly we **separate **the **223** like this(22/3)^{2}

then applied previous formula on it

we apply the formula a^{2} + 2.a.b + b^{2}

= 22^{2} + 2 x 22 x 3 + 3^{2}

=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.**