What is the vaue of `sqrt 121` + `sqrt 12321` + `sqrt 1234321`+ `sqrt 123454321`

Options

A. 12345
B. 123456
C. 12344
D. 123454

Answer

To solve the expression \( \sqrt{121} + \sqrt{12321} + \sqrt{1234321} + \sqrt{123454321} \), we will calculate each square root step by step.

### Step 1: Calculate \( \sqrt{121} \)
The square root of 121 is:
\[ \sqrt{121} = 11 \]

### Step 2: Calculate \( \sqrt{12321} \)
The square root of 12321 is:
\[ \sqrt{12321} = 111 \]

### Step 3: Calculate \( \sqrt{1234321} \)
The square root of 1234321 is:
\[ \sqrt{1234321} = 1111 \]

### Step 4: Calculate \( \sqrt{123454321} \)
The square root of 123454321 is:
\[ \sqrt{123454321} = 11111 \]

### Step 5: Add all the results together
Now we will add all the results from the previous steps:
\[ 11 + 111 + 1111 + 11111 \]

Calculating this step by step:
- First, add \( 11 + 111 = 122 \)
- Next, add \( 122 + 1111 = 1233 \)
- Finally, add \( 1233 + 11111 = 12344 \)

Thus, the final result is:
\[ \sqrt{121} + \sqrt{12321} + \sqrt{1234321} + \sqrt{123454321} = 12344 \]

### Final Answer:
\[ \boxed{12344} \]