Very easy

Calculus Level 2

Can you solve it?


The answer is 4.

Lep Tuyen by Lep Tuyen , 29, Vietnam

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2 solutions

Justin Tuazon
Nov 8, 2014

A = ( 5 − 2 6 + 9 − 6 2 ) ( 6 + 2 ) = ( 3 − 2 + 9 − 2 18 ) ( 6 + 2 ) = ( 3 − 2 + 6 − 3 ) ( 6 + 2 ) = ( 6 − 2 ) ( 6 + 2 ) = 6 − 2 = 4 ∴ A = 4 A=(\sqrt { 5-2\sqrt { 6 } } +\sqrt { 9-6\sqrt { 2 } } )(\sqrt { 6 } +\sqrt { 2 } )\\ \\ =(\sqrt { 3 } -\sqrt { 2 } +\sqrt { 9-2\sqrt { 18 } } )(\sqrt { 6 } +\sqrt { 2 } )\\ \\ =(\sqrt { 3 } -\sqrt { 2 } +\sqrt { 6 } -\sqrt { 3 } )(\sqrt { 6 } +\sqrt { 2 } )\\ \\ =(\sqrt { 6 } -\sqrt { 2 } )(\sqrt { 6 } +\sqrt { 2 } )=6-2=4\\ \\ \therefore \quad \boxed { A=4 }

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Hello,

Use calculator = answer....

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