- Take a 2-digit number ending in 4.
- Square the 4; the last digit is 6: _ _ _ 6

(keep carry, 1.) - Multiply the first digit by 8 and add the carry (1);

the 2nd number will be the next to the last digit:

_ _ X 6 (keep carry). - Square the first digit and add the carry: X X _ _.

#### Example:

- If the number is
**34**, 4 × 4 = 16 (keep carry, 1);

the last digit is _ _ _ 6. - 8 × 3 = 24 (multiply the first digit by 8), 24 + 1 = 25

(add the carry):

the next digit is 5: _ _ 5 6. (Keep carry, 2.) - Square the first digit and add the carry, 2: 1 1 5 6.
- So
**34 × 34 = 1156**.

** See the pattern?**

- For 84 × 84, 4 × 4 = 16 (keep carry, 1);

the last digit is _ _ _ 6. - 8 × 8 = 64 (multiply the first digit by 8),

64 + 1 = 65 (add the carry):

the next digit is 5: _ _ 5 6. (Keep carry, 6.) - Square the first digit and add the carry, 6: 7 0 5 6.
- So
**84 × 84 = 7056**.

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