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We have \(f(x)= (x^{4}+\sqrt 2 x-7)^{2016}\)  Calculate f(a), where \(a=(4+\sqrt{15}) (\sqrt{5}-\sqrt{3}) \sqrt{4-\sqrt{15}}\)

I have no idea here.

 Jul 18, 2020
 #1
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No idea here either......

  using a calculator   a = sqrt 2    

    a= 4

  second term = 2

 

So you are left with      (4 +2 -7)2016  =   (-1)2016  = 1          I guess !

 Jul 18, 2020

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