Study guides

☆☆

Q: Is the product of two rational numbers irrational?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

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.

yes it can, look at the example √3 times the √3 is 3. these two are rational numbers.

no x² is the product of 2 rational numbers in this case the same 2 numbers x and x The product of two rational numbers is always rational.

Not necessarily. The sum of two irrational numbers can be rational or irrational.

They are called conjugates.

Related questions

The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.

You get a product which can be rational or irrational.

The question is nonsense because the product of two rational numbers is never irrational.

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

yes it can, look at the example √3 times the √3 is 3. these two are 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.

The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.

In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.

In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.

No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).

Can be rational or irrational.

Not necessarily. The sum of two irrational numbers can be rational or irrational.

People also asked