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Find the approximate value of √0.037 using differential approxmations? ​

Answer 1

We will have to find the nearest value to the number 0.037 which square root we already know.

So, we will consider x=0.04 that will imply that the small change is just 0.003.

So, Δx=−0.003. Hence, the approximate value of √0.037 is 0.1925.