Answer: The simplified value of the given radical expression is \(2\sqrt2.\)
Step-by-step explanation: We are given to simplify the following radical expression :
\(E=3\sqrt2-\sqrt2~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
We know that for a radical expression with similar radicals, the following property holds :
\(a\sqrt b-d\sqrt b=(a-d)\sqrt b.\)
So, from equation (i), we get
\(E\\\\=3\sqrt 2-\sqrt 2\\\\=(3-1)\sqrt2\\\\=2\sqrt2.\)
Thus the required simplified value of the given radical expression is \(2\sqrt2.\)
