2的平方根是有理数吗

不能表示为简单分数的实数称为无理数。它不能像 p/q 这样的比率来表示，其中 p 和 q 都是整数，q≠0。这是有理数的不一致。无理数通常写为 R\Q，其中反斜杠符号代表“设置减号”。它也可以写成 R-Q，表示实数和有理数集合之间的差异。

基于这些数字的计算要困难一些。无理数包括√5、√11、√21等。如果在算术运算中使用这些数字，则必须首先评估根下的值。

什么是有理数？

有理数的形式是 p/q，其中 p 和 q 是整数，q ≠ 0。由于数字的基本结构，p/q 形式，大多数人发现很难区分分数和有理数。当一个有理数被除法时，输出是十进制形式，可以是结束也可以是重复的。 3、4、5 等是有理数的一些示例，因为它们可以用分数形式表示为 3/1、4/1 和 5/1。

什么是无理数？

无理数是任何不是有理数的数。无理数可以用小数表示，但不能用分数表示，这意味着它们不能表示为两个整数的比率。在小数点之后，无理数有无限数量的非重复数字。

A real number that cannot be represented as a ratio of integers is called an irrational number. For example, √3 is an irrational number.

无理数的十进制展开既不结束也不重复。无理数的定义是一个没有比率或无法说明比率的数，即除了使用根之外不能以任何其他方式表示的数。换句话说，无理数不能表示为两个整数的比率。

无理数的例子

√3、√5 等是无理数的一些例子，因为它们不能以 p⁄q 的形式表示。欧拉数、黄金比例、π等也是无理数的一些例子。 1/0、2/0、3/0 等等都是非理性的，因为它们给了我们无限的价值。

√2是有理数吗？

解决方案：

Irrational numbers are real numbers that cannot be written in the form p/q, where p and q are integers and q≠0. For instance, √3 and √5 and so on are irrational. A rational number is any number that can be written in the form of p/q, where p and q are both integers and q≠0.

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, √2 cannot be expressed in the form of p/q. Alternatively, 2 is a prime number or rational number.  

Here, the given number √2 is equal to 1.4121 which gives the result of non terminating and non recurring decimal, and cannot be expressed as fraction .., so √2 is Irrational Number.

类似问题

问题一：√7是有理数还是无理数？

回答：

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, √7 cannot be expressed in the form of p/q. Alternatively, 7 is a prime number. This means that the number 7 has no pair and is not divisible by 2. Hence, √7 is an irrational number.  

问题2：判断5.152152是否...。是一个有理数。

回答：

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, 5.152152…. has recurring digits. Hence, 5.152152…. is a rational number.

问题3：√11是有理数还是无理数？

回答：

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, √11 cannot be expressed in the form of p/q. Alternatively, 11 is a prime number. This means that the number 11 has no pair and is not divisible by 2. Hence, √11 is a irrational number.

问题 4：判断 7.23 是有理数还是无理数。

回答：

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal. Here, the given number, 7.23…. has terminating digits. Hence, 7.23 is a rational number.