`sqrt(0.0009)div sqrt(0.01)=?`

Options

A. 3
B. 0.3
C. (1/3)
D. none of these

Answer

To solve the expression \(\sqrt{0.0009} \div \sqrt{0.01}\), we can follow these steps:

### Step 1: Simplify the square roots
First, we will calculate the square roots of the numbers involved in the expression.

\[ \sqrt{0.0009} = \sqrt{9 \times 10^{-4}} = \sqrt{9} \times \sqrt{10^{-4}} = 3 \times 10^{-2} = 0.03 \]

\[ \sqrt{0.01} = \sqrt{10^{-2}} = 10^{-1} = 0.1 \]

### Step 2: Substitute the values back into the expression
Now we can substitute the values we found back into the expression:

\[ \sqrt{0.0009} \div \sqrt{0.01} = 0.03 \div 0.1 \]

### Step 3: Perform the division
Next, we will perform the division:

\[ 0.03 \div 0.1 = \frac{0.03}{0.1} = \frac{3}{10} = 0.3 \]

### Final Answer
Thus, the final answer is:

\[ \sqrt{0.0009} \div \sqrt{0.01} = 0.3 \]

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