Squares and Square Roots - Mathematics Form 1

a) 3² = 3 x 3 = 9
b) 14² = 14 x 14 = 196
c) 245² = 245 x 245 = 60025

- In your table of figures, check where 38 intersects with 7. That is your figure.
- Ensure its 1498.
- Remember it is 2dp. Hence:
3.87² = 14.98

0.03756² = (3.756 x 0.01)²
0.03756² = 3.756² x 0.0001
- In your table of figures, check where 37 intersects with . That is your figure.
- Ensure its 1406.
- On the same row, check the number intersecting with column number 6 (Right most column section labelled 'add')
- Ensure its 5.
- 1406 + 5 = 1411
- Remember it is 2dp. Hence:
0.03756² = 14.11 x 0.0001
= 0.001411

= 2 x 3528
= 2 x 2 x 1764
= 2 x 2 x 2 x 882
= 2 x 2 x 2 x 2 x 441
= 2 x 2 x 2 x 2 x 3 x 147
= 2 x 2 x 2 x 2 x 3 x 3 x 49
= 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7
= 2⁴ x 3² x 7²
= 2^{(4 ÷ 2)} x 3^{(2 ÷ 2)} x 7^{(2 ÷ 2)}
= 2² x 3¹ x 7¹
= 84