Evaluate without using tables and calculators [√45 ×(2.04)(2.04)] ÷[2.89×√0.05]

Question

Evaluate without using tables or calculators

[√45 ×(2.04)(2.04)] ÷[2.89×√0.05]

Answer 1

√45 = √(9 × 5) = √9 × √5 = 3√5
√0.05 = √(0.01 × 5) = √0.01 × √5 = 0.1√5
[3√5 × (2.04)(2.04)] ÷ [2.89 × 0.1√5]
(2.04)(2.04) = 4.1616
[3√5 × 4.1616] ÷ [2.89 × 0.1√5]
3√5 × 4.1616 = 12.4848√5
[12.4848√5] ÷ [2.89 × 0.1√5]
2.89 × 0.1 = 0.289
[12.4848√5] ÷ [0.289√5]
12.4848 ÷ 0.289 = 43.1564

Answer 2

Is it examinable????