Given that the logarithm of a number is \(\bar{1}.8732\), find, correct to 2 significant figures

MATHEMATICS
WAEC 2000

Given that the logarithm of a number is \(\bar{1}.8732\), find, correct to 2 significant figures the square root of the number.

  • A. 0.29
  • B. 0.75
  • C. 0.86
  • D. 0.93

Correct Answer: C. 0.86

Explanation

Let the number = d.

\(\log d = \bar{1}.8732\)

\(\log \sqrt{d} = \frac{\bar{1}.8732}{2}\)

= \(\frac{\bar{2} + 1.8732}{2}\)

= \(\bar{1}.9366\)

\(\therefore \sqrt{d} = Antilog (\bar{1}.9366)\)

= 0.86



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