What will come in place of the question-mark (2) in the following questions?
`root3(6859)=?-4`

Options

A. 26
B. 25
C. 23
D. 22

Answer

To solve the equation \( \sqrt[3]{6859} = ? - 4 \), we will follow these steps:

### Step 1: Calculate the cube root of 6859
To find \( \sqrt[3]{6859} \), we need to factor 6859.

### Step 2: Factor 6859
We can start dividing 6859 by small prime numbers. After testing, we find that:
- \( 6859 \div 19 = 361 \)
- Next, we factor 361: \( 361 \div 19 = 19 \)

So, we can express 6859 as:
\[ 6859 = 19 \times 19 \times 19 = 19^3 \]

### Step 3: Find the cube root
The cube root of \( 6859 \) is:
\[ \sqrt[3]{6859} = 19 \]

### Step 4: Set up the equation
Now we substitute back into the equation:
\[ 19 = ? - 4 \]

### Step 5: Solve for the question mark
To find \( ? \), we add 4 to both sides:
\[ ? = 19 + 4 \]
\[ ? = 23 \]

### Conclusion
Thus, the value that comes in place of the question mark is \( 23 \).

### Final Answer
The answer is \( 23 \).

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