Someone claims that the square root of 11 is about 105


Question: (a) Show that 1+kx is the local linearization of(1+x) k near x = 0.

(b) Someone claims that the square root of 1.1 is about 1.05. Without using a calculator, do you think that this estimate is about right?

(c) Is the actual number above or below 1.05?

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Mathematics: Someone claims that the square root of 11 is about 105
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