Answer: The required value of the radical is [tex]6\sqrt2.[/tex]
Step-by-step explanation: We are given to evaluate the following radical :
[tex]R=3\sqrt 8.[/tex]
We will be using the following property of radicals :
For real numbers a and b, we have
[tex]\sqrt{a\times b}=\sqrt a\times \sqrt b.[/tex]
So,
[tex]R\\\\=3\sqrt 8\\\\=3\sqrt{4\times 2}\\\\=3\times \sqrt 4\times \sqrt 2\\\\=3\times 2\times \sqrt 2\\\\=6\sqrt 2.[/tex]
Thus, the required value of the given radical is [tex]6\sqrt2.[/tex]
