Given that the logarithm of a number is \(\bar{1}.8732\), find, correct to 2 significant figures the square root of the number.
- 0.29
- 0.75
-
0.86
- 0.93
The correct answer is: 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