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Question

Which of the following is the rationalising factor of 372


  1. 3 + 2√7

  2. -3 - 7√2

  3. 3 + 7√2

  4. -3 + 7√2


Solution

The correct option is C

3 + 7√2


We know that (a+b)(ab)=a2b2
Now, if an expression of the form (ab+cd) is given, we can rationalise that expression by multiplying it with (abcd) since 
(ab+cd)(abcd)=a2bc2d
Thus, to rationalise (372), we multiply it with 3+72.
The expression that is multiplied with an irrational expression to obtain a rational number is called the "rationalising factor".

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