The value of `(sqrt(0.441))/(sqrt(0.625))` is equal to :

Options

A. 0.048
B. 0.84
C. 0.48
D. 0.084

Answer

To solve the expression \((\sqrt{0.441})/(\sqrt{0.625})\), we can simplify it step by step.

### Step 1: Rewrite the expression
We start with:
\[ \frac{\sqrt{0.441}}{\sqrt{0.625}} \]
Using the property of square roots that states \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\), we can rewrite the expression as:
\[ \sqrt{\frac{0.441}{0.625}} \]

### Step 2: Calculate the division inside the square root
Next, we need to divide \(0.441\) by \(0.625\):
\[ \frac{0.441}{0.625} = 0.441 \div 0.625 \]
To perform the division, we can convert both numbers to fractions:
\[ 0.441 = \frac{441}{1000} \quad \text{and} \quad 0.625 = \frac{625}{1000} \]
Thus,
\[ \frac{0.441}{0.625} = \frac{441/1000}{625/1000} = \frac{441}{625} \]

### Step 3: Simplify the fraction
Now, we have:
\[ \sqrt{\frac{441}{625}} \]
This can be simplified further using the property of square roots:
\[ \sqrt{\frac{441}{625}} = \frac{\sqrt{441}}{\sqrt{625}} \]

### Step 4: Calculate the square roots
Now we calculate the square roots:
\[ \sqrt{441} = 21 \quad \text{and} \quad \sqrt{625} = 25 \]
Thus, we have:
\[ \frac{\sqrt{441}}{\sqrt{625}} = \frac{21}{25} \]

### Step 5: Final result
So, the value of \(\frac{\sqrt{0.441}}{\sqrt{0.625}}\) is:
\[ \frac{21}{25} = 0.84 \]

### Final Answer:
The value of \((\sqrt{0.441})/(\sqrt{0.625})\) is \(0.84\).

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