What is the product of the radical expression (7 - sqrt 2)(8 + sqrt 2)

Solution:

Given radical expression is written as

(7 - √2)(8 + √2)

Let us multiply applying the distributive property

⇒ 7(8 + √2) - √2(8 + √2)

⇒ 56 + 7√2 - 8√2 -2

⇒ 54 - √2

Therefore, the product of the radical expression is 54 - √2

What is the product of the radical expression (7 - sqrt 2)(8 + sqrt 2)

Summary:

The product of the radical expression (7 - sqrt 2)(8 + sqrt 2) is 54 - √2.