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Can you add an irrational number and a rational number to give an irrational?
No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.
Is it true that if you add two irrational numbers you will always get a rational number?
yes
Can you add two irrational numbers and get a rational number?
Yes - if I had an irrational number x, and I added that to the number (7-x), I would end up with 7.If the number is irrational, it can be subtracted from a rational/integer to make another irrational.
What number can you add to any rational number to obtain an irrational number?
You can add any irrational number.
Can you subtract two rational numbers and get an irrational number?
Do you mean can we subtract one rational number from another rational number and get an irrational number as the difference? I'm not a mathematician, but I suspect strongly the answer is no. Wouldn't this imply that we can sometimes add a rational number to an irrational one, and get a rational number as a sum? That doesn't seem possible.Ans 2.It isn't possible. Proof :-Given two rational numbers, multiply the two denominators.Express each rational in terms of the common multiple.Algebraically add the numerators of the new rational numbers.Put this over the common multiple; there's the result expressed as a ratio.
