`sqrt(0.0025)+sqrt(2.25)` is equal to

Options

A. 1.55
B. 1.5
C. 0.155
D. 15.5

Explanation

To solve the expression \( \sqrt{0.0025} + \sqrt{2.25} \), we will calculate each square root separately and then add the results.

### Step 1: Calculate \( \sqrt{0.0025} \)

To find \( \sqrt{0.0025} \), we can rewrite \( 0.0025 \) as a fraction:
\[ 0.0025 = \frac{25}{10000} \]
Now, we can take the square root:
\[ \sqrt{0.0025} = \sqrt{\frac{25}{10000}} = \frac{\sqrt{25}}{\sqrt{10000}} = \frac{5}{100} = 0.05 \]

### Step 2: Calculate \( \sqrt{2.25} \)

Next, we find \( \sqrt{2.25} \). We can also rewrite \( 2.25 \) as a fraction:
\[ 2.25 = \frac{225}{100} \]
Now, we take the square root:
\[ \sqrt{2.25} = \sqrt{\frac{225}{100}} = \frac{\sqrt{225}}{\sqrt{100}} = \frac{15}{10} = 1.5 \]

### Step 3: Add the results

Now we add the results from Step 1 and Step 2:
\[ \sqrt{0.0025} + \sqrt{2.25} = 0.05 + 1.5 \]
Calculating this gives:
\[ 0.05 + 1.5 = 1.55 \]

### Final Answer

Thus, the final answer is:
\[ \sqrt{0.0025} + \sqrt{2.25} = 1.55 \]

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