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It can be, but need not be.
[sqrt(5)+sqrt(2)] and [sqrt(5)-sqrt(2)] are both irrational. Their product is 5-2 = 3.
The two numbers are conjugates of one another and the property that their product is an integer is used to rationalise denominator of surds.
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Can you add two irrational numbers and get an integer?
No, you can't.
Is two an irrational number?
Two is an integer. All integers are rational numbers.
Is -5 a irrational number?
No, -5 is not an irrational number. Irrational numbers are numbers that cannot be represented as the quotient of two integers. Since -5 is already an integer, it is rational.
Is the product of two rational numbers irrational?
The product of two rational numbers is always a rational number.
Give an example of two irrational numbers whose product is not irrational?
(pi) x (1/pi) = 1
Can you add two irrational numbers and get an integer?
No, you can't.
Is two an irrational number?
Two is an integer. All integers are rational numbers.
Example of two irrational numbers the product of which is an irrational number?
sqrt(2)*sqrt(3) is an irrational product.
What happens when two irrational numbers are multiplied?
You get a product which can be rational or irrational.
Is the product of an integer is an integer?
It is not possible to have the product of an integer. "product" is a binary operation and that means that it is an operation that combines two numbers to make the product - a third number. So you need two numbers as input, not just one.
Is -5 a irrational number?
No, -5 is not an irrational number. Irrational numbers are numbers that cannot be represented as the quotient of two integers. Since -5 is already an integer, it is rational.
Why is the product of two rational number irrational?
The question is nonsense because the product of two rational numbers is never irrational.
Is 121 an irrational number?
NO this number is way far from irrational, first of all let's classify this number, it's an integer, whole number, rational, even a perfect square. This number has two numbers that are not irrational. one example is 11, 11 those numbers are rational so the product can't be irrational.
What is an irrational number but not an integer?
No irrational numbers are integers. Pi is one example.
What product is true about the irrational and rational numbers?
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.
If the product of two numbers is an integer then the two numbers must be integer?
Not at all. Six times one half is three, and one half is not an integer.
Can the quotient of two irrational numbers be rational?
Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.
