any tricks for 3 digit square no?
Answers
Answer:
Find the square of the number formed by last 2 digit of given 3 digit number i.e. 91. Step 2: Now multiply the first and last digit, double the product and add it to the first 2 digits of step 1, i.e. 3*1=3 and doubling it we get 6. So, at the end of step 2, your answer is 8881.
Answer:
STEP 1. Last digit = last digit of SQ (Z)
STEP 2. Second Last Digit = 2*Y*Z + carryover from STEP 1.
STEP 3. Third Last Digit 2*X*Z+ Sq (Y) + carryover from STEP 2.
STEP 4. Fourth last digit is 2*X*Y + carryover from STEP 3.
STEP 5. In the beginning of the result (the first digit) will be Sq (X) + any carryover from Step 4.
For those who got confused with the above formula, we have some examples shown below:
Examples to calculate square of 3 digit numbers quickly
What is the Square of 421
STEP 1. Last digit = last digit of SQ (1) =1
STEP 2. Second Last Digit = 2*2*1 + any carryover from STEP 1= 4
STEP 3. Third Last Digit 2*4*1+ Square (2) + any carryover from STEP 2=8+4=12
As, a result 2 would be the third last digit and 1 is the carryover.
STEP 4. Fourth last digit is 2*4*2 + any carryover (which is 1) = 16+1=17.
So, 7 is the digit and carry over 1.
STEP 5. In the beginning result will be Sq (4) + any carryover from Step 4.
So 16+1 =17.
So the final result will be 177241.
Step-by-step explanation:
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