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What is rationalisation?

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If the product of two irrational numbers is a rational number,then each number is called the rationalising factor of the other number.
For Example:-

  • sqrt5 imessqrt5=5,therefore sqrt5 is a rationalising factor of sqrt5.
  • (4+sqrt3)+(4-sqrt3)=4^2-(sqrt3)^2=16-3=13,, herefore 4+sqrt3 , and, 4-sqrt3 are rationalising factor of each other.
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The process of multiplying an irrational number by its rationalising factor is called rationalisation.

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Deependra Verma

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