Multiply

Problem

(7−√(,2))*(8+√(,2))

Solution

1. Apply the FOIL method to multiply the two binomials by distributing each term in the first set of parentheses to each term in the second.

2. Multiply the First terms:

7⋅8=56

3. Multiply the Outer terms:

7⋅√(,2)=7√(,2)

4. Multiply the Inner terms:

−√(,2)⋅8=−8√(,2)

5. Multiply the Last terms:

−√(,2)⋅√(,2)=−2

6. Combine like terms by grouping the constant integers and the terms involving the square root of 2.

56−2=54

7√(,2)−8√(,2)=−1√(,2)

Final Answer

(7−√(,2))*(8+√(,2))=54−√(,2)

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