Find the square root of :
`0.0169`

Options

A. `0.23`
B. `0.13`
C. `0.33`
D. `0.43`

Answer

To find the square root of 0.0169, we can follow these steps:

### Step 1: Rewrite the Decimal
We can express 0.0169 as a fraction.
\[ 0.0169 = \frac{169}{10000} \]

### Step 2: Apply the Square Root to the Fraction
Using the property of square roots that states \(\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}\), we can find the square root of the fraction:
\[ \sqrt{0.0169} = \sqrt{\frac{169}{10000}} = \frac{\sqrt{169}}{\sqrt{10000}} \]

### Step 3: Calculate the Square Roots
Now we calculate the square roots of the numerator and the denominator:
- \(\sqrt{169} = 13\)
- \(\sqrt{10000} = 100\)

### Step 4: Combine the Results
Now we can combine the results from the previous step:
\[ \sqrt{0.0169} = \frac{13}{100} \]

### Step 5: Convert to Decimal
Finally, we convert the fraction to decimal:
\[ \frac{13}{100} = 0.13 \]

### Final Answer
Thus, the square root of 0.0169 is:
\[ \boxed{0.13} \]

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