Method to find a square of a Number
1. Find the nearest power of 10 e.g. 1,10,100,1000,10000...
2. Find Deviation. Deviation=Number-10's power
3. Square=<LHS><RHS>. We will find RHS from step 4 and LHS from step 5. Square of a given number will be concatenation of LHS with RHS.
4. RHS=Deviation * Deviation. Number of digits of RHS(say x) should be equal to number of zeros in nearest 10's power(say y). If x is more than y, then RHS will be last y digits of (Deviation * Deviation). The number formed by remaining digits should be added to the LHS.
5. LHS= Number+Deviation. Add carry(if any, from step 4) to LHS.
6. Square=<LHS><RHS>
1. Find the nearest power of 10 e.g. 1,10,100,1000,10000...
2. Find Deviation. Deviation=Number-10's power
3. Square=<LHS><RHS>. We will find RHS from step 4 and LHS from step 5. Square of a given number will be concatenation of LHS with RHS.
4. RHS=Deviation * Deviation. Number of digits of RHS(say x) should be equal to number of zeros in nearest 10's power(say y). If x is more than y, then RHS will be last y digits of (Deviation * Deviation). The number formed by remaining digits should be added to the LHS.
5. LHS= Number+Deviation. Add carry(if any, from step 4) to LHS.
6. Square=<LHS><RHS>
