answersLogoWhite

0


Best Answer

Yes.

[2-sqrt(3)]*[2+sqrt(3)] = 4 - 3 = 1

In general, [x-sqrt(y)]*[x+sqrt(y)] = x-squared + y, is rational.

x-sqrt(y) and x+sqrt(y) are called conjugates of one another. This property is used to remove irrational denominators.

User Avatar

Wiki User

9y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is possible to multiply two irrational numbers to get a rational number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

When you multiply two irrational numbers the result is called what?

If you multiply two irrational numbers, the result can be rational, or irrational.


Can you multiply three irrational numbers to get a rational number?

no


How do you turn an irrational number in to a rational number?

Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power


Are rational numbers is an irrational numbers?

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.


Are there irrational numbers that are not rational?

All irrational numbers are not rational.


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.


What irrational numbers can turn into a rational number?

No irrational number can turn into a rational number by itself: you have to do something to it. If you multiply any irrational number by 0, the answer is 0, which is rational. So, given the correct procedure, every irrational number can be turned into a rational number.


Can you multiply irrational numbers to get a rational number?

yes pi*(1/pi) = 1


What are the solutions of rational algebraic equations?

They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.They can be rational, irrational or complex numbers.


Are irrational numbers rational numbers?

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.


All rational and irrational numbers are?

All rational and irrational numbers are real numbers.


What types of numbers can you multiply together to get a rational number?

You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.