Find the value of `sqrt(1.44xx0.81)/(0.9xx3.6`

Options

A. 0.6
B. 0.5
C. `1/3`
D. 0.75

Answer

To solve the problem \( \frac{\sqrt{1.44 \times 0.81}}{0.9 \times 3.6} \), we can follow these steps:

### Step 1: Calculate the numerator
First, we need to calculate \( \sqrt{1.44 \times 0.81} \).

1. Calculate \( 1.44 \times 0.81 \):
\[ 1.44 \times 0.81 = 1.1664 \]

2. Now take the square root:
\[ \sqrt{1.1664} = 1.08 \]

### Step 2: Calculate the denominator
Next, we calculate \( 0.9 \times 3.6 \).

1. Calculate \( 0.9 \times 3.6 \):
\[ 0.9 \times 3.6 = 3.24 \]

### Step 3: Divide the results
Now we divide the result from Step 1 by the result from Step 2:
\[ \frac{1.08}{3.24} \]

### Step 4: Simplify the division
To simplify \( \frac{1.08}{3.24} \):
1. Divide both the numerator and the denominator by \( 1.08 \):
\[ \frac{1.08 \div 1.08}{3.24 \div 1.08} = \frac{1}{3} \]

### Final Answer
Thus, the value of \( \frac{\sqrt{1.44 \times 0.81}}{0.9 \times 3.6} \) is:
\[ \frac{1}{3} \]

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