Question

Radicals that have the same index and the same radicand is this true

Answer 1

Given the expression;

`\frac{\sqrt[]{2}}{7}*\sqrt[]{7}*\sqrt[]{14}`

Step 1:

`\begin{gathered} \frac{\sqrt[]{2}}{7}*\sqrt[]{7}*\sqrt[]{7}*\sqrt[]{2} \\ \end{gathered}`

Step 2:

`\begin{gathered} \sqrt[]{2}*\sqrt[]{2}=2 \\ \sqrt[]{7}*\sqrt[]{7}=7 \\ \frac{\sqrt[]{2}}{7}*\sqrt[]{7}*\sqrt[]{7}*\sqrt[]{2}=(2*7)/(7) \end{gathered}`

Step 3:

`\begin{gathered} \frac{\sqrt[]{2}}{7}*\sqrt[]{7}*\sqrt[]{14}=(2*7)/(7) \\ \frac{\sqrt[]{2}}{7}*\sqrt[]{7}*\sqrt[]{14}=2 \end{gathered}`

The solution is;

`2`