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Question:
why we have to rationalise............if i not rationalise any solution so that my solution is wrong
Answer:

This is because to be in simplest form, the denominator should not be irrational.

Again when written in the from 1/√2, it means divide 1 into √2 pieces. 

This does not make sense conceptually because we can not count √2

When we multiply √2 in numerator and denominator, we get √2/2 which is the division of a finite quantity into a countable number of pieces

while 1/√2 does not.

So, we rationalize the number.

 

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