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What is $(3 + sqrt2)(3 - sqrt2)$ ?

1 Answer

Jun 11, 2015

$(3+sqrt(2))(3-sqrt(2)) = 7$

Explanation:

Remember the difference of squares:
$color(white)("XXXX")$ $(a^2-b^2) = (a+b)(a-b)$
and substitute
$color(white)("XXXX")$ $3$ for $a$
and
$color(white)("XXXX")$ $sqrt(2)$ for $b$

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