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No.
The product of sqrt(2) and sqrt(2) is 2, a rational number.
Consider surds of the form a+sqrt(b) where a and b are rational but sqrt(b) is irrational.
The surd has a conjugate pair which is a - sqrt(b).
Both these are irrational, but their product is a2 - b, which is rational.
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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.
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.
Are there more rational numbers than irrational numbers true or false?
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
Which of the following numbers are irrational?
Any of the numbers which cannot be expressed as a ratio of two integers is irrational.
