How do you simplify $(5+sqrt 5)(2-sqrt 3)$ ?

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Answer 1 · 2018-05-03T03:51:24

1.938898571

$(5 + sqrt5)$ $(2 - sqrt3)$

F.O.I.L.
First, Outer, Inner, Last

$5$ * $2$ = $10$ [First]
$5$ * $-sqrt3$ = $-5sqrt3$ [Outer]
$sqrt5$ * 2 = $2sqrt5$ [Inner]
$sqrt5$ * $-sqrt3$ = $-sqrt15$ [Last]

Add all terms:

$10 -5sqrt3 + 2sqrt5 -sqrt15$ = 1.938898571

How do you simplify (5+sqrt 5)(2-sqrt 3)(5+sqrt 5)(2-sqrt 3)?