Answer:
By the distributive property,
A number or a term can be distribute inside the bracket under the operation of multiplication over addition.
For eg :
a(b + c) = ab + ac
Given expression is,
[tex]11\sqrt{7}-6\sqrt{7}+3\sqrt{2}[/tex]
By the converse of distributive property,
[tex]\sqrt{7}(11-6)+3\sqrt{2}[/tex]
[tex]5\sqrt{7}+3\sqrt{2}[/tex]
Which is the simplified form of the given expression.