Find the square root of `(0.204xx4.2)/(0.007xx3.4)`

Options

A. 5
B. 6
C. 3
D. 9

Answer

To find the square root of \((0.204 \times 4.2) / (0.007 \times 3.4)\), we can follow these steps:

### Step 1: Write the expression clearly
We start with the expression:
\[ \frac{0.204 \times 4.2}{0.007 \times 3.4} \]

### Step 2: Simplify the decimal numbers
To simplify the calculation, we can eliminate the decimals by multiplying the numerator and the denominator by 1000 (since the largest decimal has three places). Thus, we have:
\[ \frac{0.204 \times 4.2 \times 1000}{0.007 \times 3.4 \times 1000} = \frac{204 \times 4.2}{7 \times 3.4} \]

### Step 3: Calculate the numerator and denominator
Now we calculate the numerator and denominator separately:
- **Numerator**:
\[ 204 \times 4.2 = 856.8 \]
- **Denominator**:
\[ 7 \times 3.4 = 23.8 \]

### Step 4: Form the new fraction
Now we can rewrite the fraction:
\[ \frac{856.8}{23.8} \]

### Step 5: Perform the division
Now we perform the division:
\[ \frac{856.8}{23.8} = 36 \]

### Step 6: Find the square root
Now we take the square root of the result:
\[ \sqrt{36} = 6 \]

### Final Answer
Thus, the square root of \((0.204 \times 4.2) / (0.007 \times 3.4)\) is:
\[ \boxed{6} \]

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