8平方是有理数吗
有理数是两个整数的和。它包含所有整数,可以写成分数或小数。它由字母“Q”表示。当你除一个有理数时,结果是十进制形式,它可能是结束的,也可能是循环的。有理数的例子有 3、4、5 等,可以用分数形式表示为 5/1、8/1 和 11/1。
无理数是那些不能表示为分数或整数比的数。它可以用小数表示,小数点后有无限个不重复的数字。它由字母“P”表示。任何不是有理数的整数都是无理数。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。无理数在小数点后有无数个不重复的数字。
无理数是不能用整数比表示的实数。例如。√5是一个无理数,
无理数的十进制展开既不是结束也不是循环。无理数被定义为没有比率或无法说明比率的数,即只能用根来表示的数。另一方面,无理数不能表示为两个整数的比率。
8平方是有理数吗
解决方案:
Rational numbers are the numbers that can be expresses as in the form of p/q .or in the ration of two integers. It includes all the integers and can be represented in fractions as well as decimal .
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, 82 = 8 × 8 = 64, it can be expressed in form of p/q i.e 64/1.
Hence, yes 8 squared is a rational number .
类似问题
问题1:7的平方是有理数吗?
解决方案:
Rational numbers are the numbers that can be expresses as in the form of p/q or in the ration of two integers. It includes all the integers and can be represented in fractions as well as decimal .
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, 72 = 7 × 7 = 49 , it can be expressed in form of p/q i.e 49/1.
Hence, yes 7 squared is a rational number.
问题2:7的平方根是有理数吗?
回答:
Here, the given number, √7 cannot be expressed in the form of p/q. Alternatively, 7 is not a prime number but a rational number. √7 is equal to 2.645751… which gives the result of non terminating and non recurring digit after decimal, and cannot be expressed as fraction.
So, √7 is not a rational Number.
问题 3:确定 4.257257... 是否是有理数。
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, 4.257257… has recurring digits.
Hence, 4.257257.. is a rational number.
问题 4:9 的平方是有理数吗?
解决方案:
Rational numbers are the numbers that can be expresses as in the form of p/q .or in the ration of two integers . It includes all the integers and can be represented in fractions as well as decimal .
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 9 is a rational number.
Therefore, 92 = 9 × 9 = 81, it can be expressed in form of p/q i.e 81/1
Hence, yes 9 squared is a rational number.
问题5:√5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, √5 cannot be expressed in the form of p/q. Alternatively, 5 is a prime number or rational number.
Here, the given number √5 is equal to 2.23606.. which gives the result of non terminating and non recurring decimal, and cannot be expressed as fraction.
So, √5 is Irrational Number.
问题6:判断√3×√5的乘积是有理还是无理?
解决方案:
Given: √3 × √5 both are irrational numbers but it is not necessary that the product of two irrational number will be irrational.
Therefore, √3 × √5
= √15
But here square root of 15 is 3.8729833… which is non terminating and non recurring after decimal.
Hence, the product of √3 × √5 is irrational.