Discussion
Find out the square root of 0.000169.
Answer: B
The square root of 0.000169 is 0.013.
Write the number as a whole number over a power of ten with an even exponent, so the root can be taken of each part:
\[ \begin{aligned} 0.000169 &= \frac{169}{10^{6}} \\ \sqrt{0.000169} &= \frac{13}{10^{3}} = 0.013 \end{aligned} \]
Check: \(0.013 \times 0.013 = 0.000169\). The shortcut is that a square root has half as many decimal places as the number: six places become three. 0.13 squares to 0.0169, 0.0013 squares to 0.00000169 and 0.00013 is smaller still, so each misplaces the decimal point.
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