# How do you simplify root3(40)times4root3(5)?

Aug 16, 2016

$8 \sqrt[3]{25}$

#### Explanation:

If cube roots are being multiplied, then we can combine them into a single root. Write the numbers as the product of their prime factors so we can see what we are dealing with.)

$\sqrt[3]{40} \times 4 \sqrt[3]{5} = 4 \sqrt[3]{40 \times 5}$

=$4 \sqrt[3]{2 \times 2 \times 2 \times 5 \times 5}$

=$4 \times 2 \sqrt[3]{25}$

=$8 \sqrt[3]{25}$