Question

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

Answer 1

Given:

The expression is

$(7-\sqrt{7})(-6+\sqrt{7})$

To find:

The product of the radical expression.

Solution:

We have,

$(7-\sqrt{7})(-6+\sqrt{7})$

Using distributive propertry, we get

$=(7)(-6)+(7)(\sqrt{7})+(-\sqrt{7})(-6)+(-\sqrt{7})(\sqrt{7})$

$=-42+7\sqrt{7}+6\sqrt{7}-7$

On combining like term, we get

$=(-42+7)+(7\sqrt{7}+6\sqrt{7})$

$=-49+13\sqrt{7}$

Therefore, the product of the given radical expression is $-49+13\sqrt{7}$.