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Question

Let x=(50+7)13(507)13. Then 
  1. x=2
  2. x=3
  3. x is a rational number, but not an integer
  4. x is an irrational number


Solution

The correct option is A x=2
x=(50+7)13(507)13
Let  t=(50+7)131t=(507)13
x=t1tx3=t31t33(t1t)
x3+3x=50+750+7=14
x3+3x14=0(x2)(x2+2x+7)=0
x=2

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