is it rational because there is a pattern
It is a rational number because it is a terminating decimal number which can also be expressed as a fraction
The area of a triangle can be a rational number or an irrational number depending on its dimensions.
Yes. sqrt(2) and sqrt(18) = 3*sqrt(2) are both irrational. But their product is sqrt(2)*3*sqrt(2) = 3*2 = 6 which is rational.
There are infinitely many rational numbers, but there are infinitely more irrational numbers than rational numbers. There are more irrational numbers between 0 and 1 than there are rational numbers period.I was kind of guessing what you were trying to ask, so let me explain some background in case that wasn't quite it. Rational numbers are those that are representable as the ratio of two integers: 2/3, 355/113, 5 (=5/1). Irrational numbers are those that cannot be represented exactly by the ratio of two integers; some familiar irrational numbers are pi and the square root of 2. There are an infinite number of integers, and therefore an infinite number of rational numbers, but the two infinities are of the same order of magnitude (called a countable or listable infinity). The mathematical designation for the kind of infinity that the integers have is called aleph-null. There are also an infinite number of irrational numbers, but it's a "bigger" kind of infinity called C or the "power of the continuum." There's a relationship between aleph-null and a larger infinity called aleph-one. It's not known whether C and aleph-one are the same or not, and if they're not, we don't know which is bigger.
A state of mind that requires no knowledge or understanding of any kind. Hard to explain, but see the related link.
Any, and every, irrational number will do.
It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
1 + sqrt(2) is irrational 1 - sqrt(2) is irrational. Their sum is 2 = 2/1 which is rational.
No, by the very definition of rational it can be a fraction with only integers. Common sense would suggest that since irrational means not rational that is impossible.
It is a rational number because it is a terminating decimal number which can also be expressed as a fraction
Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)
The area of a triangle can be a rational number or an irrational number depending on its dimensions.
Yes, but unless you are able to fully explain how they are being irrational it is unlikely they will listen to you, and in that case you should not tell them they are being irrational.
Yes. sqrt(2) and sqrt(18) = 3*sqrt(2) are both irrational. But their product is sqrt(2)*3*sqrt(2) = 3*2 = 6 which is rational.
6.52 is a rational number because it can be expressed as a fraction in the form of 163/25 whereas irrational numbers can't be expressed as fractions.
5 is rational, because it can be written with a finite number of digits (only one digit, as it turns out). The fraction one third, in comparision, written as a decimal looks like .33333333333... in an infinite expansion, which makes it irrational.
The number system consists of real numbers. Real numbers are further divided into rational numbers and irrational numbers. Rational numbers consist of numbers(1-9) and integers(1.5, 3.7, 70.7, etc.) Irrational numbers are complex numbers(square roots of few numbers)