Question

irrational number + irrational number always gives a rational number true or false​

Answer 1

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The above statement is False .

Because

Let's take an example

Add ✓2 and ✓3

we know that

✓2 = 1.414--------

✓3 = 1.732-------

when we add ✓2 and ✓3

That is ,

1.414----- + 1.732------

= 3.146-------

Here we are getting a number which is non - terminating and non - recurring decimal.

But according to Rational numbers property only a terminating and non - terminating recurring decimal can be converted into a rational number.

But ,

here we are getting an non - terminating and non - recurring decimal

This actually states that

when a irrational number is added to another irrational number then the sum of those two will be always an irrational number...

Hope this is useful....

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Answer 2

Answer:

It is false..........