Find the square root of 0.0324.
(a)1.8
(b)1.08
(c)0.018
(d)0.18

Options

A. `1.8`
B. `1.08`
C. `0.018`
D. `0.18`

Answer

To find the square root of 0.0324, we can follow these steps:

### Step 1: Rewrite the Decimal
First, we can eliminate the decimal by rewriting the number. Since 0.0324 has four decimal places, we can express it as:
\[ \sqrt{0.0324} = \sqrt{\frac{324}{10000}} \]

### Step 2: Simplify the Square Root
Now, we can separate the square root of the numerator and the denominator:
\[ \sqrt{0.0324} = \frac{\sqrt{324}}{\sqrt{10000}} \]

### Step 3: Calculate the Square Roots
Next, we calculate the square roots of 324 and 10000:
- The square root of 324 is 18, since \(18 \times 18 = 324\).
- The square root of 10000 is 100, since \(100 \times 100 = 10000\).

So we have:
\[ \sqrt{0.0324} = \frac{18}{100} \]

### Step 4: Simplify the Fraction
Now we can simplify the fraction:
\[ \frac{18}{100} = 0.18 \]

### Conclusion
Thus, the square root of 0.0324 is:
\[ \sqrt{0.0324} = 0.18 \]

The correct answer is option (d) 0.18.

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