Maths-
SAT
Easy

Question

fraction numerator x squared minus 2 over denominator x minus square root of 2 end fraction
Which of the following is equivalent to the expression above for x≠ square root of 2?

  1. x - 1
  2. x + 1
  3. x space minus space square root of 2 space end root
  4. x plus square root of 2

The correct answer is: x plus square root of 2


    fraction numerator x squared minus 2 over denominator x minus square root of 2 end fraction equals fraction numerator x squared minus left parenthesis square root of 2 right parenthesis squared over denominator x minus square root of 2 end fraction equals fraction numerator left parenthesis x minus square root of 2 right parenthesis left parenthesis x plus square root of 2 right parenthesis over denominator left parenthesis x minus square root of 2 right parenthesis end fraction equals x plus square root of 2

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