Question

Evaluate the radical.
1000−−−−√3 Enter your answer in the box.

Answer 1

The value of radical
`\sqrt[3]{1000}` is, 10

Explanation:

Use the exponent rules:

`\sqrt[n]{a^n} = a`

Evaluate the radical.

`\sqrt[3]{1000}`

We can write 1000 as:

`1000 = 10 \cdot 10 \cdot 10 = 10^3`

then;

`\sqrt[3]{10^3}`

Apply the exponent rules we have;

10

therefore, the value of radical
`\sqrt[3]{1000}` is, 10

Answer 2

10^3=1000

so think of it as what number cubed =1000