The value of `sqrt(0.000441)` is equal to :

Options

A. 0.21
B. 0.0021
C. 0.021
D. 0.00021

Answer

To find the value of \( \sqrt{0.000441} \), we will simplify it step by step.

### Step 1: Rewrite the number in scientific notation
First, we can express \( 0.000441 \) in scientific notation.
\[ 0.000441 = 4.41 \times 10^{-4} \]

### Step 2: Take the square root of the scientific notation
Now, we can take the square root of both the coefficient and the power of ten.
\[ \sqrt{0.000441} = \sqrt{4.41 \times 10^{-4}} = \sqrt{4.41} \times \sqrt{10^{-4}} \]

### Step 3: Calculate the square root of \( 10^{-4} \)
The square root of \( 10^{-4} \) is:
\[ \sqrt{10^{-4}} = 10^{-2} = 0.01 \]

### Step 4: Calculate the square root of \( 4.41 \)
Next, we need to calculate \( \sqrt{4.41} \). We can recognize that:
\[ \sqrt{4.41} = \sqrt{\frac{441}{100}} = \frac{\sqrt{441}}{\sqrt{100}} = \frac{21}{10} = 2.1 \]

### Step 5: Combine the results
Now, we can combine the results from Step 3 and Step 4:
\[ \sqrt{0.000441} = 2.1 \times 0.01 = 0.021 \]

### Final Answer
Thus, the value of \( \sqrt{0.000441} \) is:
\[ \sqrt{0.000441} = 0.021 \]

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