Given:
The radical expression is
[tex]7\sqrt{7}-2\sqrt{7}[/tex]
To find:
The simplified value of the given expression.
Solution:
We have,
[tex]7\sqrt{7}-2\sqrt{7}[/tex]
Taking out the common factors, we get
[tex]7\sqrt{7}-2\sqrt{7}=(7-2)\sqrt{7}[/tex]
[tex]7\sqrt{7}-2\sqrt{7}=5\sqrt{7}[/tex]
Therefore, the simplified form of the given expression is [tex]5\sqrt{7}[/tex].