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## Is 17 rational or irrational?

A rational number is defined as the number that can be expressed in the form of a quotient or division of two integers. Both the numbers cannot be represented in the form of a rational number and have a non terminating non-repeating decimal trail. Thus, the square root of 17 is irrational.

## Is 1 17 is a rational number?

It is rational because the decimal is non terminating repeating.

**How tell if a number is rational or irrational?**

Answer: If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.

### Why is negative 17 a rational number?

In mathematics rational means “ratio like.” So a rational number is one that can be written as the ratio of two integers. For example 3=3/1, −17, and 2/3 are rational numbers. Finally, the real number x is rational if and only if there are finitely many solutions to | x − a/b | < 1/b2.

### Is 17 3 an irrational number?

Integers are the numbers: 0,1,−1,2,−2,3,−3,… Rational numbers are any number that can be expressed as pq where p and q are integers and q≠0 . So 5 , 12.42 , −173 and 0 are rational numbers.

**What determines if a number is irrational?**

In mathematics, an irrational number is any real number that cannot be expressed as a ratio a/b, where a and b are integers and b is non-zero. Informally, this means that an irrational number cannot be represented as a simple fraction. Irrational numbers are those real numbers that cannot be represented as terminating or repeating decimals.

#### What numbers are irrational numbers?

Among irrational numbers are the ratio π of a circle’s circumference to its diameter, Euler’s number e, the golden ratio φ, and the square root of two; in fact all square roots of natural numbers, other than of perfect squares, are irrational.

#### Which number is an irrational number?

Irrational number. The mathematical constant π is an irrational number that is much represented in popular culture. The number √2 is irrational. In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.

**What are the most famous irrational numbers?**

An Irrational Number is a real number that cannot be written as a simple fraction. Example: 1.5 is rational, because it can be written as the ratio 3/2. The most famous irrational number is √2, sometimes called Pythagoras ’s constant.