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What is an unreal number?
Imaginary and complex numbers are an extension of the Real Number system. They are not called unreal. An imaginary number is a non-existent number, like the square root of a negative number. For example, the square root of -4 is 2i (i stands for imaginary). There are also complex numbers, which are defined as the sum of a real number and an imaginary number (e.g. 4 + 3i). An imaginary number does not exist, but can nevertheless be useful in certain applications. An imaginary number is any number that is the product of a real number and the square root of negative one (-1). The square root of -1 is the "unit" of the set of imaginary numbers, and is referred to as "i". As you know, negative numbers cannot have square roots, and so the square root of any negative number is "imaginary". There are also "complex numbers", which are the sum of a real number and an imaginary number. For example 3 + 2i.
What family of real numbers does the square root of 6 belong to?
The square root of 6 is an irrational number. It is also an algebraic number, a quadratic surd, an algebraic integer, a constructible number, and a computable number.
What is the one of two numbers whose product is 1 also called multiplicaton inverse?
IN ALGEBRA muliplicative Inverse is the product of the number and the reiprocal of the number and after multiplying the number and the reciprocal the result will be 1.
What are square number?
Square numbers are the products of numbers that have been multiplied by themselves like 2 x 2 = 4, or 9 X 9 = 81. The squares here are 4 and 81.Numbers that can be made by multiplying another number my itself, like 12 x 12 = 144. So 144 is a square number.By convention and probably also by definition, square numbers and square roots (the numbers multiplied by themselves) are always whole numbers, integers with no factional or decimal parts.A square number is the result of any non-zero integer multiplied by itself.9 is a square number because 3 x 3 = 9.5 is not a square number because there isn't an integer that can be multiplied by itself to make 5.
How are square roots and perfect squares related?
The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.
What is a rational number whose square root is a whole number?
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.
A whole number whose square root is also a whole number is called what?
A perfect square.
How many triangular numbers are also square numbers?
There are an many triangular numbers that are also square numbers. Simply put, the sum of two consecutive triangular number equals a square number. Examples include 1 and 36.
Is there any prime numbers that are square numbers?
No, there are no prime numbers that are also square numbers. Prime numbers are only divisible by 1 and themselves, while square numbers have integer square roots. Since the square root of a prime number is not an integer, a prime number cannot be a square number.
What is the smallest palindromic number whose square is also a palindrome?
11
A short note on square root of rational number?
Square root of a rational number may either be rational or irrational. For example 1/4 is a rational number whose square root is 1/2. Similarly, 4 is 4/1 which is rational and the square root is 2 which of course is also rational. However, 1/2 and 2 are rational, but their square roots are irrational. We can say the square root of a rational number is always a real number. We can also say the rational numbers whose square roots are also rational are perfect squares or fractions involving perfect squares.
Can you explain why some square numbers are odd numbers?
The square of any odd number is also an odd number for reasons that should be obvious.
The smallest palindromic number whose square is also a palindrome?
112 = 121
Are all square numbers also composite numbers explain?
Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.
Are square numbers also prime numbers?
Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors
What square numbers below 100 are also prime numbers?
A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!
Are they any other square numbers of 4?
4 is a square number in its own right and 4*4 = 16 which is also a square number
