Question

Answer this question with the method explained ​

Answer 1

• 5.96

Explanation:

We can show that 3.83 and 1.95² are close numbers.

1) Recall the method of finding the square of the numbers ending with 5:

• (Multiply the number before 5 to subsequent number add 25 as last digits

Apply this method to get:

• 1.95² = (195/100)² = (19*20*100+25)/10000 = 38025/10000 = 3.8025 ≈ 3.8

2) Use another method, square of the difference:

• 1.95² = (2 - 0.05)² = 2² - 2*2*0.05 + 0.0025 = 4 - 0.2 + 0.025 = 3.8025 ≈ 3.8

If we cancel 3.83 and 1.95², we'll end up with 5.96.