22的平方根是有理数吗

有理数是可以表示为两个整数之比的数。它包括所有整数，可以用分数或小数表示。它用“Q”表示。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。

无理数是不能用分数或整数比表示的数字。它可以写成小数，小数点后有无穷无尽的不重复数字。它用“P”表示。

平方根

一个数本身相乘得到原始数的数称为平方根。数的平方根是可以写成 x = √y 形式的值。这意味着'x'等于y的平方根，其中'x'是任何自然数。我们也可以将其表示为 x ² = y。

因此，平方根是一个与自身相乘的值，即 y = x × x。示例：5 × 5 =25，25 的平方根为 5。例如，

• 求 16 的平方根？

Solution: 

Given: √16

= √(4 × 4)

= 4, hence 4 is the square root of 16.

• 求 24 的平方根？

解决方案：

Here square root of 24 is irrational as 4.898979… Hence it is non terminating and non recurring .

22的平方根是有理数吗

回答：

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals. It is denoted by ‘Q’.

Example: -4 , -6 , -14 , 0 , 1 , 2 , 5 etc

Rational numbers are of the form p/q, where p and q are integers and q ≠ 0. Because of the underlying structure of numbers, p/q form, most individuals find it difficult to distinguish between fractions and rational numbers.

When a rational number is divided, the output is in decimal form, which can be either ending or repeating. 3, 4, 5, and so on are some examples of rational numbers as they can be expressed in fraction form as 3/1, 4/1, and 5/1.

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.

Therefore the square root of 22 is √22 = 4.690415…. 

Here, the answer to above question is Square root of 22 is not a rational number as it is non terminating or not reciurring after decimal … 

类似问题

问题1：判断4.6904是否……。是有理数吗？

回答：

Here, the given number, 4.6904…. has not recurring digits.Hence, 4.6904…. is not a rational number.

问题2：6的平方根是有理数吗？

回答：

Here, the given number, √6 cannot be expressed in the form of p/q. Alternatively, 6 is not a prime number but a rational number. √6 is equal to 2.449489… which gives the result of non terminating and non recurring digit after decimal, and cannot be expressed as fraction..,

So √6 is not a rational Number .

问题3：判断-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 -8 is a rational number.

问题4：√2是有理数吗？

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, √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.

问题5：12的平方根是有理数还是无理数？

回答：

Here, the given number, √12 cannot be expressed in the form of p/q. Alternatively, 12 is not a prime number but a rational number.  

Here, the given number √12 is equal to 3.4641016… which gives the result of non terminating and non recurring digit after decimal, and cannot be expressed as fraction .., So √12 is Irrational Number.

问题6：√17是有理数还是无理数？

回答：

Here, the given number, √17 cannot be expressed in the form of p/q. Alternatively, 17 is a prime number. This means that the number 7 has no pair and is not divisible by 2. The square root of 17 is 4.1231056.. which is non terminating and non recurring after decimal Hence, √17 is an irrational number.  

问题7：√100是有理数还是无理数？

回答：

Here, the given number, √100 = 10 or 10² = 10 × 10 = 100. The square root of 100 is 10 , it can be expressed as in form of p/q and  which is terminating digit . Hence, √100 is a rational number.