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:

$\sqrt[3]{10^3}=(10^3)^{\frac{1}{3}}=10^{\frac{3}{3}}=10$

Hence, the simplied expression is 10