0
The square of 0 is 0. For any other number, whether it is positive or negative, the square is positive. Thus, the square of any real number is non-negative. This means that only non-negative number can have square roots.
So what happens if you are trying to solve the equation x^2 +4 = 0. It is not a particularly complicated equation.
Simplify to x^2 = -4 and so x = sqrt(-4). But then what? 2*2 = 4 and (-2)*(-2) is also 4 so neither can be an answer.
To get around that, mathematicians introduced imaginary numbers. Then, the answer to the above question is that x = 2i (2j if you are a physicist). And they added the special rule for multiplication: i*i = -1. These are the simplest form of non-real numbers.
The next level up are complex numbers and these are numbers of the form a + bi where a and b are real and i is the imaginary number representing the square root of -1.
Yet another level up are the quaternions which are numbers of the form a + bi + cj + dk where a, b, c and d are real, and i,j k are similar to the i of the complex numbers but with further multiplication rules for i, j and k. See the link below for more on quaternions.
http://en.wikipedia.org/wiki/Quaternion
Wiki User
∙ 9y ago
Wiki User
∙ 8y agoThe set of imaginary numbers contains the square root of negative one and its multiples.
Add your answer:
Earn +20 pts
Is -4 a nonreal complex number?
No. Negative four is a real number. All real numbers are also complex numbers, so it is a complex number (but it's real, not nonreal)
How many solutions are in x2 plus x plus 4 equals 0?
There are none. For this equation, there is nonreal answer, as the graph of the quadratic does not pass below the x-axis
What are solutions that are not real in algebra?
An example would be a negative number found from using the quadratic formula. That can possibly result from an equation that cannot be set into factored form due to the lack of common factors. Imaginary numbers can be considered nonreal. 2i = 2 times radical -1 The radical looks like the pulse monitor you see in hospitals, fyi.
What kinds of numbers are 36 and 49?
They are whole numbers,counting numbers,integers,rational numbers,real Numbers,composite numbers,square numbers,positive numbers,2-digit numbers.
what are the numbers for not prime numbers?
Numbers that are not prime numbers are called composite numbers.
Is -4 a nonreal complex number?
No. Negative four is a real number. All real numbers are also complex numbers, so it is a complex number (but it's real, not nonreal)
Is one a real complex pure imaginary or nonreal complex number?
One is a complex number and a real number.
A repeating decimal is a real number?
Yes repeating decimals are real numbers. They can fall under the category of rational numbers under real numbers since their repeating decimal patterns allows them to be converted into a fraction. Nonreal numbers are imaginary numbers which are expressed with i, or sqrt(-1).
How many solutions are in x2 plus x plus 4 equals 0?
There are none. For this equation, there is nonreal answer, as the graph of the quadratic does not pass below the x-axis
What are solutions that are not real in algebra?
An example would be a negative number found from using the quadratic formula. That can possibly result from an equation that cannot be set into factored form due to the lack of common factors. Imaginary numbers can be considered nonreal. 2i = 2 times radical -1 The radical looks like the pulse monitor you see in hospitals, fyi.
Can you give me an example of an infinite set?
The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.
What are the different types of numbers?
irrational numbers odd numbers even numbers whole numbers prime numbers composite numbers counting numbers
What kinds of numbers are 36 and 49?
They are whole numbers,counting numbers,integers,rational numbers,real Numbers,composite numbers,square numbers,positive numbers,2-digit numbers.
what are the numbers for not prime numbers?
Numbers that are not prime numbers are called composite numbers.
What kind of numbers belongs to the family of real numbers?
Numbers that include real numbers are natural numbers, whole numbers, integers, rational numbers and irrational numbers.
What are different names for Numbers?
The different names for Numbers are defined as Natural numbers, whole numbers , real numbers, decimal numbers, integers, rational numbers and irrational numbers.
What are the three kinds of numbers?
Real numbers, imaginary numbers and irrational numbers are three kinds of numbers. Others are rational numbers, algebraic numbers and primes numbers. There are many more.
