`sqrt((1.21xx0.9)/(1.1xx0.11))=?`

Options

A. 2
B. 3
C. 9
D. 11

Answer

To solve the expression \( \sqrt{\frac{1.21 \times 0.9}{1.1 \times 0.11}} \), we will follow these steps:

### Step 1: Calculate the numerator
First, we need to calculate the product in the numerator:
\[ 1.21 \times 0.9 \]
Calculating this gives:
\[ 1.21 \times 0.9 = 1.089 \]

### Step 2: Calculate the denominator
Next, we calculate the product in the denominator:
\[ 1.1 \times 0.11 \]
Calculating this gives:
\[ 1.1 \times 0.11 = 0.121 \]

### Step 3: Form the fraction
Now we can form the fraction:
\[ \frac{1.089}{0.121} \]

### Step 4: Perform the division
Next, we divide the numerator by the denominator:
\[ \frac{1.089}{0.121} \approx 9 \]

### Step 5: Take the square root
Finally, we take the square root of the result:
\[ \sqrt{9} = 3 \]

### Final Answer
Thus, the value of \( \sqrt{\frac{1.21 \times 0.9}{1.1 \times 0.11}} \) is:
\[ \boxed{3} \]

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