Question

I have a Questionfor a Answer ty is about Multiply radicals

Answer 1

Step 1

Given :

`\sqrt[]{5}*\sqrt[]{10}`

Required: To simplify the problem

Step 2

Simplify the problem

`\begin{gathered} \sqrt[]{5}*\sqrt[]{10} \\ \text{but} \\ \sqrt[]{10}=\text{ }\sqrt[]{5}*\sqrt[]{2} \\ \end{gathered}`

Therefore, we will have

`\begin{gathered} =\sqrt[]{5}*\sqrt[]{5}*\sqrt[]{2} \\ =\sqrt[]{25}*\sqrt[]{2} \end{gathered}`
`\begin{gathered} =\text{ 5}*\sqrt[]{2} \\ =\text{ 5}\sqrt[]{2} \end{gathered}`

Hence, the answer is seen below as

`5\sqrt[]{2}`