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What is the rationalizing factor of (a+√b)

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What is the rationalizing factor of (a+√b)

Question : The rationalizing factor of $(\mathrm{a}+\sqrt{\mathrm{b}})$ is

  1. $a-\sqrt{b}$
  2. $\sqrt{a}-b$
  3. $\sqrt{a}-\sqrt{b}$
  4. None of these

Solution :
Correct option is 1. $a-\sqrt{b}$
The rationalizing factor of $a + \sqrt{b}$ is $a - \sqrt{b}$ as the product of these two expressions give a rational number.

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