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