To simplify the expression [tex]\(\sqrt[3]{1,000}\)[/tex], we need to find the cube root of 1,000. This means we are looking for a number which, when multiplied by itself three times, gives 1,000.
1. We start by considering the problem [tex]\(\sqrt[3]{1,000}\)[/tex].
2. To do this, we need to determine which number, when raised to the power of 3 (cubed), results in 1,000:
[tex]\[ x^3 = 1,000 \][/tex]
3. The actual calculation for the cube root of 1,000 can be complex if done manually, but after evaluating it, we find that:
[tex]\[ \sqrt[3]{1,000} = 9.999999999999998 \][/tex]
4. When rounding to the nearest whole number, this result becomes:
[tex]\[ 10 \][/tex]
Therefore, the cube root of 1,000 is 10.
So, the correct answer is:
D. 10
