Simplify : (4+5√3)^2

Xvlaze asked Aug 26, 2022

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11 votes

Simplify :
(4+5√3)^2

Xvlaze asked Aug 26, 2022

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8 votes

Answer:

91 + 40
√(3)

Explanation:

(4 + 5
√(3) )² = (4 + 5
√(3) ) (4 + 5
√(3) )

= 4( 4 + 5
√(3) )+ 5
√(3) (4 + 5
√(3) )

= 16 + 20
√(3) + 20
√(3) + 25
√(9)

= 16 + 40
√(3) + 25· 3

= 16 + 40
√(3) + 75

= 91 + 40
$\sqrt3}$

NickZeng answered Aug 30, 2022

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