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Irrational Numbers are infinitely dense. this means that there are infinitely many irrational numbers between any two numbers and so the term "next" has no meaning.
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What is the Next to rational and irrational number?
Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).
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.
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.
Will any irrational number divided by an irrational number be irrational?
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
Is an irrational number times an irrational number always irrational?
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
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]
Can you add two positive irrational numbers to get an irrational number?
Yes. sqrt(2) + sqrt(2) = 2*sqrt(2), an irrational number.
Which number produces an irrational number when added to 0.4?
Any irrational number, added to 0.4 will give an irrational number.
Is the square root of 2 an irrational number or a rational number?
irrational
Is the square root a 2 an irrational number?
Yes, the square root of 2 is an irrational number.
Does an irrational number times an irrational number equal an irrational number?
Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.
Why is 2 an irrational number?
It isn't. 2 is perfectly rational.You are confused with the square root of 2, which is an irrational number.
