What will come in place of the question-mark (2) in the following questions?
`sqrt(450+890+685)=?`

Options

A. 43
B. 45
C. 55
D. 53

Answer

To solve the question \( \sqrt{450 + 890 + 685} = ? \), we will follow these steps:

### Step 1: Add the numbers inside the square root
First, we need to calculate the sum of the numbers 450, 890, and 685.

\[ 450 + 890 + 685 \]

Calculating this step-by-step:

1. Add 450 and 890:
\[ 450 + 890 = 1340 \]

2. Now, add 1340 and 685:
\[ 1340 + 685 = 2025 \]

So, we have:
\[ \sqrt{450 + 890 + 685} = \sqrt{2025} \]

### Step 2: Find the square root of 2025
Next, we need to find \( \sqrt{2025} \).

To do this, we can factor 2025 or use a method to find its square root.

1. Start by finding the prime factorization of 2025:
- 2025 is divisible by 5:
\[ 2025 \div 5 = 405 \]
- 405 is also divisible by 5:
\[ 405 \div 5 = 81 \]
- 81 can be factored as:
\[ 81 = 9 \times 9 = 3^4 \]
- Therefore, the complete factorization of 2025 is:
\[ 2025 = 5^2 \times 3^4 \]

2. Now, we can find the square root:
\[ \sqrt{2025} = \sqrt{5^2 \times 3^4} = 5 \times 3^2 = 5 \times 9 = 45 \]

### Final Answer
Thus, the value that comes in place of the question mark is:
\[ \boxed{45} \]