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

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Answer 1 · 2017-05-25T18:42:13

$7+4sqrt3.$

Using the Expansion Formula,

$(a+b)^2=a^2+2ab+b^2,$ we have,

$(sqrt3+2)^2=sqrt3^2+2*sqrt3*2+2^2,$

$=3+4sqrt3+4,$

$rArr (sqrt3+2)^2=7+4sqrt3.$

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