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const2013 [10]
3 years ago
6

Simplify : (4+5√3)^2

Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer:

91 + 40\sqrt{3}

Step-by-step explanation:

(4 + 5\sqrt{3} )² =  (4 + 5\sqrt{3} ) (4 + 5\sqrt{3})

                 = 4( 4 + 5\sqrt{3} )+ 5\sqrt{3} (4 + 5\sqrt{3} )

                  = 16 + 20\sqrt{3} + 20\sqrt{3} + 25\sqrt{9}

                   = 16 + 40\sqrt{3} + 25· 3

                   = 16 + 40\sqrt{3} + 75

                   = 91 + 40\sqrt3}

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