Question

3. Construct Arguments which is a better
approximation of V20, 4.5 or 4.47?
Explain.

Answer 1

Explanation:

Using the identity (x + 0.5)^2 = x(x + 1) + 0.25:

4.5^2 = 4 * 5 + 0.25 = 20.25

Also 4.45^2 = 19.8

so 4.47^2 will be closer to 20 than 4.5^2.