What are irrational numbers? How do they...

What are irrational numbers? How do they differ form rational numbers? Give examples.

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The correct Answer is:

Irrational number those who cannot be represented in form `p/q` (`q ne 0`) where `p, q` are integers while rational number can be represented.
Example of irrational number, `pi, sqrt(2), 1.202002000...`
Example of rational number, `22/7, 5/3, 2.34, 4.bar(5)`

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If x is a rational number and y is an irrational number, then

Both x + y and xy are necessarily irrational.

Both x + y and xy are necessarily rational.

xy is necessarily irrational, but x + y can be either rational or irrational.

x+y is necessarily irrational, but xy can be either rational or irrational.

Assertion : 5-sqrt(2)=5-1.414=3.586 is an irrational number . Reason : The difference of a rational number and an irrational number is an irrational number .

If both assertion and reason are true and reason is the correct explanation of assertion .

If both assertion and reason are true but reason is not the correct explanation of assertion .

If assertion is true but reason is false.

If assertion is false but reason is true .

If x be a rational number and y be an irrational number, then :

both `x + y` and `xy` are necessarily irrational

both `x + y` and `xy` are necessarily rational

`xy` is necessarily irrational, but x + y can be either rational or irrational

`x + y` necessarity irrational , but xy can be either rational or irrational