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What is this expression in simplified form?

[tex]\sqrt[3]{1,000}[/tex]

A. 333
B. 100
C. 31
D. 10

Sagot :

GinnyAnswer
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
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