What least number should be subtracted from 6860, so that 19 be the cube root of the result from this subtraction?

Options

A. 1
B. 2
C. 3
D. 5

Answer

To solve the problem, we need to find the least number that should be subtracted from 6860 so that the result is a perfect cube, specifically the cube of 19.

### Step-by-step Solution:

1. **Determine the cube of 19**:
\[ 19^3 = 19 \times 19 \times 19 \]
Calculate this:
\[ 19 \times 19 = 361 \]
\[ 361 \times 19 = 6859 \]
So, \( 19^3 = 6859 \).

2. **Set up the equation**:
We need to find the least number \( x \) that should be subtracted from 6860 such that:
\[ 6860 - x = 6859 \]

3. **Solve for \( x \)**:
Rearranging the equation gives:
\[ x = 6860 - 6859 \]
Calculate this:
\[ x = 1 \]

4. **Conclusion**:
The least number that should be subtracted from 6860 is \( 1 \).

### Final Answer:
The least number that should be subtracted from 6860 is **1**.

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