Question

I have a Questionfor a Answer ty is about Multiply radicals

Answer 1

Step 1

Given :

$\sqrt[]{5}\times\sqrt[]{10}$

Required: To simplify the problem

Step 2

Simplify the problem

$\begin{gathered} \sqrt[]{5}\times\sqrt[]{10} \\ \text{but} \\ \sqrt[]{10}=\text{ }\sqrt[]{5}\times\sqrt[]{2} \\ \end{gathered}$

Therefore, we will have

$\begin{gathered} =\sqrt[]{5}\times\sqrt[]{5}\times\sqrt[]{2} \\ =\sqrt[]{25}\times\sqrt[]{2} \end{gathered}$$\begin{gathered} =\text{ 5}\times\sqrt[]{2} \\ =\text{ 5}\sqrt[]{2} \end{gathered}$

Hence, the answer is seen below as

$5\sqrt[]{2}$