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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.

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Q: Is possible to multiply two irrational numbers to get a rational number?
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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.


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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.


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.


Can you multiply irrational numbers to get a rational number?

yes pi*(1/pi) = 1


Are irrational numbers rational numbers?

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Is it possible to mulitply two irrational numbers together to give a rational answer?

yes it is possible