What is the product of the radical expression. (7-2square root) (8+2 square root)

54 - √2

Step-by-step explanation:

(7 - √2)(8 + √2) = 7(8 + √2) - √2(8 + √2)

                            = 7×8 + 7√2 - 8√2 - √4

                            = 7×8 + (7√2 - 8√2) - √4

                            = 56 - √2 - 2

                              = 56  + 2 + 15√2

                             = 54 - √2

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80