How do you multiply $(3-sqrt2)(4+sqrt2)$ ?

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Answer 1 · 2015-06-04T21:48:43

$(3-sqrt(2))(4+sqrt(2))$

$=(3xx4)+(3xxsqrt(2))-(sqrt(2)xx4)-(sqrt(2)xxsqrt(2))$

$=12+3sqrt(2)-4sqrt(2)-2$

$=(12-2)+(3-4)sqrt(2)$

$=10-sqrt(2)$

How do you multiply (3-sqrt2)(4+sqrt2) (3-sqrt2)(4+sqrt2)?