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Can You multiply a rational and irrational number and get an irrational product?
Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).
Is pi over 2 a whole integer rational or irrational number?
If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
Is the square of an irrational number rational?
Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
Is number 2 rational or irrational?
2 is a rational number and it is also a prime number
How can you turn an irrational number into a rational number?
Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.
How do you turn an irrational number in to a rational number?
Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power
Can You multiply a rational and irrational number and get an irrational product?
Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).
Is pi over 2 a whole integer rational or irrational number?
If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
Is negative 2pi a rational number?
No. The number pi is irrational, and if you multiply an irrational number by a non-zero rational number (in this case, -2), you will get another irrational number.As a general guideline, most calculations that involve irrational numbers will again give you an irrational number.
Is a rational number times a irrational number?
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
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 the square of an irrational number rational?
Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.
Will you always get an irrational number when you multiply two irrational numbers if no provide a counterexample?
The square root of 2 times the square root of 2 is rational.
Is 2 a rational number or irrational?
It is rational. It is a whole number so it cannot be irrational.
Can the product of any two irrational numbers be a rational number?
Yes. For example, if you multiply the square root of 2 (an irrational number) by itself, the answer is 2 (a rational number). The golden ratio (Phi, approx. 1.618) multiplied by (1/Phi) (both irrational numbers) equals 1 (rational). However, this is not necessarily true for all irrational numbers.
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
