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Is the product of an irrational number and a rational number always an irrational number?
Not if the rational number is zero. In all other cases, the product is irrational.
What real number is also irrational?
All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.
What is an example of an irrational whole number?
No whole number is irrational. They are all expressible by some other whole numbers such that p/q = (the number), so, no whole number is irrational.
Why is the golden ratio an irrational number?
Because like any other irrational number it can't be expressed as a fraction
Does pi times any number equal an irrational number?
Since pi is irrational, its product with any other number is also irrational. The only exception is a multiple of its own reciprocal.
Does an irrational number multiplied by an irrational number equal an irrational number?
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
Is - square root 17 irrational rational irrational whole irrational rational?
17 is a prime number with no factors other than itself and 1 therefore minus square root of 17 is an irrational number.
Why is the pi an irrational number?
Because like all other irrational numbers it cannot be expressed as a fraction
Is 3.56 an irrational number?
No, 3.56 is not an irrational number. 3.56 is rational.
Whether a rational number multiplied by an irrational number gives an irrational number?
rational * irrational = irrational.
Is negative pi rational or irrational?
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
What is an irrational number and why is pi an irrational number?
An irrational number is a real number that cannot be expressed as a ratio of two integers, x and y, where y>0. In 1761, Johann Heinrich Lambert proved that pi is irrational. His proof and alternatives by other mathematicians can be found at the attached link.
