Verified answer

Multiply the two polynomials

(5*3) + (5*(-2√(2))) + (-√(2)*3) + (-√(2)*-2√(2))

15 - 10√(2) - 3√(2) + 4

19 - 13√(2)

= (5-√(2))(3+2√(2)) = ...expand and simplify