Simplify:- √400 + (5+2)^2 = ?

Options

A. a. 49
B. b. 449
C. c. 69
D. d. none of these

Answer

To simplify the expression \( \sqrt{400} + (5 + 2)^2 \), we can follow these steps:

### Step 1: Calculate \( \sqrt{400} \)
The square root of 400 can be calculated as follows:
\[ \sqrt{400} = 20 \]

### Step 2: Calculate \( (5 + 2) \)
Now, we add 5 and 2:
\[ 5 + 2 = 7 \]

### Step 3: Calculate \( (5 + 2)^2 \)
Next, we square the result from Step 2:
\[ (5 + 2)^2 = 7^2 = 49 \]

### Step 4: Add the results from Step 1 and Step 3
Now, we add the results from Step 1 and Step 3:
\[ 20 + 49 = 69 \]

### Final Answer
Thus, the simplified expression is:
\[ \sqrt{400} + (5 + 2)^2 = 69 \]

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