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Mathematics

If x is a positive rational number which is not a perfect square, then 5x-5\sqrt{x} is

  1. a negative integer
  2. an integer
  3. a rational number
  4. an irrational number

Rational Irrational Nos

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Answer

x is a positive rational number and x is not a perfect square.

Then, x\sqrt{x} is an irrational number,

Therefore , 5x-5\sqrt{x} is also an irrational number.

∴ Option 4, is the correct option.

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