What is the product of the radical expression (7 - sqrt 7)(-6 + sqrt 7).

Solution:

The radical expression (7 - √7)(-6 + √7) is simplified as below:

(7 - √7)(-6 + √7)

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

= -42 - 7 + 6√7 + 7√7

= - 49 + 13√7

Therefore, the product of the radical expression (7-sqrt 7)(-6+sqrt 7) is - 49 + 13√7

What is the product of the radical expression (7 - sqrt 7)(-6 + sqrt 7).

Summary:

The product of the radical expression (7-sqrt 7)(-6+sqrt 7) is - 49 + 13√7.