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Subjects>Math>Math & Arithmetic

Is the product of two irrational numbers is an integer?

Anonymous

∙ 12y ago

Updated: 10/18/2022

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.

Wiki User

∙ 12y ago

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Continue Learning about Math & Arithmetic

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

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