Squaring any 3 digit number.

By this method, you can square any 3 digit number.

This trick involves rembering the same two rules “Single digit is squared” and “Pair of digits multiplied and doubled”

(234) = ??

We move right to left.

Step - 1 As per the rule, single digit is squared

i.e Square of 4 = 4 x 4 = 16 (1 of 16 will be carried over)

Step - 2 Apply the rule “Pair of digits multiplied and doubled” on the pair - 4 and 3

i.e 4 x 3 = 12, Double of 12 is 24

1 carried from the previous step gets added to 24, which makes it 25 (2 of 25 will be carried to the next step)

Step 3 - Apply the rule “Pair of digits multiplied and doubled” on the pair 4 & 2 and rule “Single digit is squared” on 3. Add the result

i.e 4 x 2 = 8, Double of 8 is 16

Square of 3 is 9

Add 16 and 9 = 25

2 carried from the previous step gets added to 25, which makes it 27 (2 of 27 will be carried to the next step)

Step 4 - Apply the rule “Pair of digits multiplied and doubled” on the pair - 3 and 2

i.e 3 x 2 = 6, Double of 6 is 12

2 carried from the previous step gets added to 12, which makes it 14 ( 1 of 14 will be carried to the next step)

Step 5 - Apply the rule “Single digit is squared” on 2

i.e Square of 2 = 2 x 2 = 4 (1 carried from the previous step gets added to 4, which makes it 5 )

Thus the answer is 54756

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