How do you simplify $(4+5sqrt3)^2$ ?

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Answer 1 · 2017-01-26T21:50:28

$(4+5sqrt3)^2=91+40sqrt3$

Expand the binomial:

$(4+5sqrt3)^2$

$=(4+5sqrt3)(4+5sqrt3)$

Distributing (FOILing):

$=4(4)+4(5sqrt3)+(5sqrt3)4+(5sqrt3)5sqrt3$

$=16+20sqrt3+20sqrt3+25sqrt9$

$=16+40sqrt3+25(3)$

$=91+40sqrt3$

How do you simplify (4+5sqrt3)^2(4+5sqrt3)^2?