Maths-
SAT
Easy

Question

Which of the following is equivalent to fourth root of x squared plus 8 x plus 16 end root , where x>0?

  1. (x+4)4
  2. (x+4)2
  3. (x+4)
  4. left parenthesis x plus 4 right parenthesis to the power of 1 half end exponent 

The correct answer is: left parenthesis x plus 4 right parenthesis to the power of 1 half end exponent


    fourth root of x squared plus 8 x plus 16 end root equals fourth root of x squared plus 2 left parenthesis 4 right parenthesis left parenthesis x right parenthesis plus 4 squared end root
    equals fourth root of left parenthesis x plus 4 right parenthesis squared end root equals left parenthesis x plus 4 right parenthesis to the power of 2 divided by 4 end exponent space space equals left parenthesis x plus 4 right parenthesis to the power of 1 divided by 2 end exponent

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