Discussion

Find out the square root of 0.0169

Answer: A

The square root of 0.0169 is 0.13.

0.0169 has four decimal places, so its square root has two. Since \(13^{2} = 169\):

\[ \begin{aligned} \sqrt{0.0169} &= \sqrt{\frac{169}{10000}} \\ &= \frac{13}{100} = 0.13 \end{aligned} \]

Check: \(0.13 \times 0.13 = 0.0169\). 1.3 squared is 1.69 and 0.013 squared is 0.000169, so both misplace the decimal point.

A quick check is to count decimal places: a square root has half as many as the number itself, so four places become two.

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