How do you simplify $(5+sqrt3)(4-2sqrt 3)$ ?

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Answer 1 · 2016-09-15T03:42:42

$(5+sqrt3)(4-2sqrt 3)=14-6sqrt3$

$(5+sqrt3)(4-2sqrt 3)$

= $5(4-2sqrt 3)+sqrt3(4-2sqrt 3)$

= $20-5xx2sqrt3+sqrt3xx4-sqrt3xx2sqrt3$

= $20-10sqrt3+4sqrt3-2xx(sqrt3)^2$

= $20-6sqrt3-2xx3$

= $20--6sqrt3-6$

= $14-6sqrt3$

How do you simplify (5+sqrt3)(4-2sqrt 3)(5+sqrt3)(4-2sqrt 3)?