Short cut for mathematics

Square and Square Root of two digit get using formula 1

Square and Square Root get using formula

Formula: (a+b)2 = a2+2ab+b2 i.e, (a / b)2= a2 / 2ab / b2
we applied this formula to obtain the square of a number

 Example 1:

( 57 )2
= ( 5 / 7 )2
Answer :
Apply formula of a2+2ab+b2
Consider,
572 = ?
A as 5
B as 7 (we break the number in two parts i.e, A as 5 and B as 7 and applied formula )
= 52 / 2 x 5 x 7 / 72
= 25 / 2 x 5 x 7 / 49
a2= 25
b2= 49
2ab = 2 x 5 x 7 = 70
= 25 / 70 / 49
Step 1: Put down 9 carry 4
Step 2: add carry 4 to 70 = 74 put down 4 carry 7
Step 3: add carry 7 to 25 = 32 put down 32
and answer is 3249, 
= 3249

All this do on your mind which will help in fast calculation to obtain the answer of Square and Square Root of a number.
we applied this formula to obtain the square of a number

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.