0
Yes. The sum of two Irrational Numbers can be rational, or irrational.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
Can you add irrational numbers to get a rational number?
Yes. Consider 4+sqrt(2), and 3-sqrt(2). Both are irrational numbers. Their sum is 7.
Can you add two irrational numbers and get another irrational number?
Yes, you can.
If you add two irrational numbers do you get an irrational number?
Not necessarily. The sum of two irrational numbers can be rational or irrational.
How do you find an irrational no between 0.365789 and 0.365478?
Find the difference between the two numbers, then add an irrational number between zero and one, divided by this difference, to the lower number. Such an irrational number might be pi/10, (square root of 2) / 2, etc.
Is the square of an irrational number rational?
Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.
Can you add two positive irrational numbers to get an irrational number?
Yes. sqrt(2) + sqrt(2) = 2*sqrt(2), an irrational number.
What number can you add to any rational number to obtain an irrational number?
You can add any irrational number.
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.
What number do you get when you add an irrational and a rational number?
An irrational number.
Can you add a rational number and an irrational number and get an irrational number?
Every time. No exceptions.
Can you add irrational number and a rational to get a rational number?
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
Can you add an irrational number and a rational number?
Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational. 1.a +b =c Where a and c are rational and b is irrational. 2.b=c-a Subtracting the same number a from each side. 3.b is irrational c-a is a rational number we arrived at a contradiction. So the sum is an irrational number.
Can you add two irrational numbers to get an irrational number?
Yes.An example:1 + 2^(0.5) is an irrational number,1 -(2^(0.5)) is also a irrational number.(1 + 2^(0.5)) + (1- 2^(0.5)) = 22 is a rational number.Therefore the sum of two irrational numbers can equal a rational number.But this is not the question. Can you add two irrational numbers to get another irrational number. Yes. Almost all additions of two irrational numbers result in another irrational number. For instance pi (3.141...) and e (2.718...) are both irrational, and so is their sum. In some sense you have to work quite hard to make the sum not irrational (i.e. rational) because the two decimal expansions have to conspire together either to cancel out or to give a repeating decimal.Actually, pi+e may or may not be irrational. This hasn't been proved either way. See: http://en.wikipedia.org/wiki/Irrational_number (under "Open Questions")Yes. For example, pi + (-pi) = 0.any number that is a non-terminating decimal is called an irrational number.
Can you add three irrational numbers to get a rational number?
Yes. sqrt(2), 2*sqrt(2) and -3*sqrt(2).
Does an irrational number multiplied by an irrational number equal an irrational number?
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
Will any irrational number divided by an irrational number be irrational?
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
What is an irrational number between one and two?
You can add a small irrational number - smaller than the difference - to one. For example, 1 + pi/4.
