Question

What is the product of the radical expression?
(7- sqrt7)(-6 + sqrt7)

Answer 1

Given:

The expression is

`(7-√(7))(-6+√(7))`

To find:

The product of the radical expression.

Solution:

We have,

`(7-√(7))(-6+√(7))`

Using distributive propertry, we get

`=(7)(-6)+(7)(√(7))+(-√(7))(-6)+(-√(7))(√(7))`

`=-42+7√(7)+6√(7)-7`

On combining like term, we get

`=(-42+7)+(7√(7)+6√(7))`

`=-49+13√(7)`

Therefore, the product of the given radical expression is
`-49+13√(7)`.