Question

Explain how the expression 11√7−6√7+3√2 can be simplified using the distributive property.

Answer 1

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,

`11√(7)-6√(7)+3√(2)`

By the converse of distributive property,

`√(7)(11-6)+3√(2)`

`5√(7)+3√(2)`

Which is the simplified form of the given expression.