What is (a+bsqrt(2))(c+dsqrt(2)) ?

The solution to (a+bsqrt(2))(c+dsqrt(2)) is ac+sqrt(2)ad+sqrt(2)bc+2bd

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simplify (a+bsqrt(2))(c+dsqrt(2))

simplify

(a + b 2) (c + d 2)

a c + 2 a d + 2 b c + 2 b d

Solution steps

(a + b 2) (c + d 2)

Apply FOIL method

(a + b 2) (c + d 2) : a c + 2 a d + 2 b c + 2 b d

= a c + 2 a d + 2 b c + 2 b d

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(1 - cos (4 x))^{2} + ln^{2} (1 + 3 x^{2}) - sin^{5} (4 x)

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What is (a+bsqrt(2))(c+dsqrt(2)) ?
The solution to (a+bsqrt(2))(c+dsqrt(2)) is ac+sqrt(2)ad+sqrt(2)bc+2bd