Find the value of 3 \sqrt1000]{?}1000.

Question

Find the value of
`3 \sqrt1000]{?}`1000.

Answer 1

You have the following expression:

`\sqrt[3]{1000}`

In order to simplify the previous expression, consider that number 1000 can be written as 1000 = 10³.

Furthermore, consider that ³√ of a number can be written as the same number powered to 1/3.

Then, you have:

`\sqrt[3]{10^3}=(10^3)^{(1)/(3)}=10^{(3)/(3)}=10`

Hence, the simplied expression is 10