Question

simplify 3 3 root 40 - 4 3 root 320 minus 3 root 5

Answer 1

This may help you.....

Answer 2

$\Longrightarrow{\boxed{\bold{Answer: - 11 \sqrt[3]{5} }}}$

$\textbf{\underline{Step-by-step explanation :- }}$

1. Bring the common value.

2. Take same value common.

3. Reach to the required answers.

$= 3 \sqrt[3]{40} - 4 \sqrt[3]{320} - \sqrt[3]{5} \\ \\ 3 \sqrt[3]{40} = 3 \sqrt[3]{8 \times 5} = 6 \sqrt[3]{5} \\ 4 \sqrt[3]{320} = 4 \sqrt[3]{8 \times 8 \times 5} = 16 \sqrt[3]{5} \\ \\ = 6 \sqrt[3]{5} - 16 \sqrt[3]{5} - \sqrt[3]{5} \\ \\ = \sqrt[ 3]{5} (6 - 16 - 1) \\ \\ = - 11 \sqrt[3]{5}$