0
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.
Add your answer:
Earn +20 pts
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.
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.
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.
Are 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.
Is the sum of any two irrational number is an irrational number?
The sum of two irrational numbers may be rational, or irrational.
What two irrational numbers make a rational number?
The simplest example (of infinitely many) is probably the squareroot of two multiplied by itself equals two. Take any rational number, say 4.177 and divide it with any irrational number, say the square root of 13, and you will get a new irrational number. The product of your two irrational numbers now make a rational number.
Is the product of two rational numbers irrational?
The product of two rational numbers is always a rational number.
What is the closest irrational number to 13?
Irrational numbers are infinitely dense so that there are infinitely many irrational numbers between any to numbers. In fact, there are more irrational numbers between any two numbers than there are rational numbers in total!
What are two irrational numbers whose product is rational?
Make the two irrational numbers reciprocals of each other. Ex.) 1/pi x pi = 1
