`(0.0144)^(1//2)+(2.5)^(2)=?`

Options

A. 1. 5
B. 2. 11
C. 3. 6
D. 4. 9

Explanation

To solve the expression \((0.0144)^{1/2} + (2.5)^{2}\), we will follow these steps:

### Step 1: Calculate \((0.0144)^{1/2}\)
First, we need to find the square root of \(0.0144\).

\[ 0.0144 = \frac{144}{10000} \]

Now, we can take the square root:

\[ (0.0144)^{1/2} = \left(\frac{144}{10000}\right)^{1/2} = \frac{144^{1/2}}{10000^{1/2}} = \frac{12}{100} = 0.12 \]

### Step 2: Calculate \((2.5)^{2}\)
Next, we find the square of \(2.5\):

\[ (2.5)^{2} = 2.5 \times 2.5 = 6.25 \]

### Step 3: Add the results from Step 1 and Step 2
Now we add the results from the previous steps:

\[ 0.12 + 6.25 \]

To perform the addition:

\[ 0.12 + 6.25 = 6.37 \]

### Final Answer
Thus, the final answer is:

\[ \boxed{6.37} \]

---