Question

Use a linear approximation (or differentials) to estimate the given number:
3√28
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Answer 1

To estimate the value of √28 using linear approximation, we can use a known value that is close to 28. In this case, we can use 25, which is a perfect square.

Step-by-step explanation:

To estimate the value of √28 using linear approximation, we can use a known value that is close to 28. In this case, we can use 25, which is a perfect square. The equation of the linear approximation is:

√28 ≈ √25 + (28 - 25)/(2*√25) = 5 + 3/10 = 5.3

Therefore, the estimated value of √28 using linear approximation is approximately 5.3.