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( pi ) x ( 3/pi ) = 3
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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
Write a numerical expression of the sum of two irrational numbers resulting in an irrational number?
sqrt(2) + sqrt(3) is irrational.
If you add two irrational numbers do you get an irrational number?
Not necessarily. The sum of two irrational numbers can be rational or irrational.
Is the product of two irrational numbers is an integer?
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.
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.
Why is the product of two rational number irrational?
The question is nonsense because the product of two rational numbers is never irrational.
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.
Why you cannot write irrational numbers in fraction?
Because that is the definition of irrational numbers: They are the numbers that cannot be written as a ratio of two integers! A fraction is a ratio of two integers.
Is the product of two rational numbers irrational?
The product of two rational numbers is always a rational number.
What are two irrational numbers whose product is rational?
Make the two irrational numbers reciprocals of each other. Ex.) 1/pi x pi = 1
Give an example of two irrational numbers whose product is not irrational?
(pi) x (1/pi) = 1
Is the product of three irrational numbers always an irrational number?
No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
Write a numerical expression of the sum of two irrational numbers resulting in an irrational number?
sqrt(2) + sqrt(3) is irrational.
Is the product of two irrational numbers always an irrational number?
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.
If you add two irrational numbers do you get an irrational number?
Not necessarily. The sum of two irrational numbers can be rational or irrational.
