What will come in place of question mark (?) .
`sqrt(11) + ((11))^(1//2) = ?`

Options

A. `(11)^(4-3)`
B. `(11)^(5-3)`
C. `(11)^(1//2)`
D. `(11)^(12)`

Answer

To solve the equation \( \sqrt{11} + 11^{1/2} = ? \), we can follow these steps:

### Step 1: Understand the terms
The expression \( \sqrt{11} \) can be rewritten in exponential form. The square root of a number can be expressed as that number raised to the power of \( \frac{1}{2} \). Therefore:
\[ \sqrt{11} = 11^{1/2} \]

### Step 2: Rewrite the equation
Now, we can rewrite the original equation using this understanding:
\[ \sqrt{11} + 11^{1/2} = 11^{1/2} + 11^{1/2} \]

### Step 3: Combine like terms
Since both terms on the right side are the same, we can combine them:
\[ 11^{1/2} + 11^{1/2} = 2 \times 11^{1/2} \]

### Step 4: Final expression
Thus, the expression simplifies to:
\[ 2 \times 11^{1/2} \]

### Conclusion
So, the value that comes in place of the question mark (?) is:
\[ 2 \sqrt{11} \]

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