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The percentage error in the 11th root of the number 28 is approximately …. times the precentage error is 28. (a) 1/28 (b) 1/11 (c) 11

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The percentage error in the 11th root of the number 28 is approximately …. times the precentage error is 28.

(a) 1/28

(b) 1/11

(c) 11

(d) 28

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Best answer

(b) 1/11

Let y = x1/11

Take log on both sides

The percentage error is approximately 1/11 times the percentage error is 28.

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