Answer:
option (a) is correct.
The Simplest form of the radical expression [tex]4\sqrt[4]{2}x+6\sqrt[4]{2}x[/tex] is [tex]10\sqrt[4]{2}x[/tex]
Step-by-step explanation:
Given expression [tex]4\sqrt[4]{2}x+6\sqrt[4]{2}x[/tex]
We have to write the given expression in simplest form.
Consider the given expression [tex]4\sqrt[4]{2}x+6\sqrt[4]{2}x[/tex]
Since both terms have [tex]\sqrt[4]{2}x[/tex],
Using [tex]ax+bx=(a+b)x[/tex]
Taking [tex]\sqrt[4]{2}x[/tex] common , we get,
[tex]4\sqrt[4]{2}x+6\sqrt[4]{2}x\\\\ \Rightarrow \sqrt[4]{2}x(4+6)\\\\ \Rightarrow 10\sqrt[4]{2}x[/tex]
Thus, option (a) is correct.
The Simplest form of the radical expression [tex]4\sqrt[4]{2}x+6\sqrt[4]{2}x[/tex] is [tex]10\sqrt[4]{2}x[/tex]
