What will come in place of (?) question mark.
`(root(3)(1331))/(11) + sqrt(81) + ? = 27`

Options

A. 19
B. 18
C. 17
D. 16

Answer

To solve the equation \((\sqrt[3]{1331})/(11) + \sqrt{81} + ? = 27\), we will follow these steps:

### Step 1: Calculate \(\sqrt[3]{1331}\)
We know that \(1331\) is the cube of \(11\). Therefore:
\[ \sqrt[3]{1331} = 11 \]

### Step 2: Substitute \(\sqrt[3]{1331}\) into the equation
Now, we can substitute this value into the equation:
\[ \frac{11}{11} + \sqrt{81} + ? = 27 \]

### Step 3: Simplify \(\frac{11}{11}\)
Calculating \(\frac{11}{11}\):
\[ \frac{11}{11} = 1 \]

### Step 4: Calculate \(\sqrt{81}\)
Next, we calculate \(\sqrt{81}\):
\[ \sqrt{81} = 9 \]

### Step 5: Substitute the values into the equation
Now, we substitute \(1\) and \(9\) back into the equation:
\[ 1 + 9 + ? = 27 \]

### Step 6: Simplify the left side
Adding \(1\) and \(9\):
\[ 10 + ? = 27 \]

### Step 7: Solve for \(?\)
To find \(?\), we subtract \(10\) from both sides:
\[ ? = 27 - 10 \]
\[ ? = 17 \]

Thus, the value that comes in place of the question mark is \(17\).

### Final Answer:
The value of \(?\) is \(17\).

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