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Is the quotient of two irrational numbers always irrational?
yes
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
Is it true that if you add two irrational numbers you will always get a rational number?
yes
Is the sum of two POSITIVE irrational numbers ALWAYS irrational?
No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.
Why is square root 7 irrational?
Because no two integer numbers divide to make the number "square root of 7".
Is the quotient of two irrational numbers always irrational?
yes
Is the quotient of two irrational numbers is irrational?
In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.
Is 10.46 irrational?
it is not irrational. This is because there are two non irrational numbers that divide each other that are rational. So 10.46 is rational.
What is an irrational plus two rational numbers?
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
Are the sum of two rational numbers rational or irrational?
They are always rational.
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
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.
Is the product of two irrational numbers always an irrational number?
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.
Is it true that if you add two irrational numbers you will always get a rational number?
yes
Would the difference between two irrational numbers is always going to be rational?
No. sqrt(3) - sqrt(2) is irrational.
The sum of two irrational is always irrational?
No. In fact, the sum of conjugate irrational numbers is always rational.For example, 2 + sqrt(3) and 2 - sqrt(3) are both irrational, but their sum is 4, which is rational.
Is the sum of two POSITIVE irrational numbers ALWAYS irrational?
No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.
