Question

Preform the indicated operation and express the answer in simplest radical form

Answer 1

hello

the question here is

`3\sqrt[]{7}(14-4\sqrt[]{56})`

step 1

multiply through the bracket by the coeffiecient

`\begin{gathered} 3\sqrt[]{7}(14-4\sqrt[]{56}) \\ (3\sqrt[]{7}*14)-(3\sqrt[]{7}*4\sqrt[]{56}) \\ (14*3\sqrt[]{7})-3\sqrt[]{7}*4\sqrt[]{4*14} \\ (42\sqrt[]{7})-3\sqrt[]{7}*8\sqrt[]{14} \\ (42\sqrt[]{7})-\lbrack(3*8)\sqrt[]{7*14} \\ 42\sqrt[]{7}-24\sqrt[]{98} \end{gathered}`
`\begin{gathered} 42\sqrt[]{7}-24\sqrt[]{49*2} \\ 42\sqrt[]{7}-24*7\sqrt[]{2} \\ 42\sqrt[]{7}-168\sqrt[]{2} \end{gathered}`