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The square root of a negative number is not real. However, there is a field of numbers known as the complex number field which contains the reals and in which negative numbers have square roots. Complex numbers can all be expressed in the form a+bi where a and b are real and i is the pure imaginary such that i2=1.
Please see the related links for more information about complex and imaginary numbers.
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Is the square root of negative 101 a rational number?
The square root of any negative number is not even a 'real' number. It's called 'imaginary', because there's no number you can multiply by itself to get a negative number. The square root of 101 is irrational.
Is the square root of negative 64 a rational number?
The square root of negative 64 isn't even a real number. In math and engineering, it's called an "imaginary number".
What is an imaginary number?
The square root of a negative real number is an imaginary number.We know square root is defined only for positive numbers.For example,1) Find the square root of (-1)It is imaginary. We say that square root of (-1) is i.In fact they are not real numbers.2) Find the square root of (-4)-4 can be written as (-1)(4)Square root of 4 is 2 and square root of (-1) is iSo, the square root of -4 is 2i.Similarly, we can find the square root of other negative numbers also.Source: www.icoachmath.comAn imaginary number is defined to handle square roots of negative numbers. The imaginary unit i is defined as the 'positive' square root of -1.
Is non-real numbers exist?
no, every number is a real number --- There are numbers that are not real numbers. They are called imaginary numbers, and have the property that when they are squared, the result is negative. The square root of -1 is called i, and the square root of any other negative number is i times the square root of the absolute value of the number. So the square root of -4 is 2i.
What is the opposite of a real number?
An imaginary number such as the square root of any negative number.
How do you do a square root of a negative number that is not a perfect square?
The square root of a negative number is not real.
Why is it impossible to square a negative number?
you can square a negative number but you can not square root a negative number
What is the square root of a negative number plus the square root of a negative number?
Nothing. You cannot have a square root of a negative number. The square root of negative one is called i, but i is an imaginary number. It does not exist and does not follow the properties of real numbers. (For example, if a and b are positive, then the square root of a times the square root of b is the square root of ab. But the square root of -7 is not the square root of 7 times i.)
How do you find the negative square root of 5?
A negative square root is an imaginary number.
How do you get the square root of negative 144?
square root of a negative number is imaginary square root of negative 1 is defined as i square root of negative 144 is sqrt ((144)(-1)) = 12i
Is the square root of negative 11 a real number?
No. In general, the square root of a negative number is an imaginary number, which is not a real number.
What is a negative square root defined as?
If you're referring to the square root of a negative number, it's an imaginary number.
Is negative the square root of 36 a whole number?
Negative the square root of 36 is -6, which is a whole number.
What is the square root of negative 37?
The square root of a negative number is known as an imaginary number. In this case, the square root of negative 37 would be represented as √(-37) = √37i, where "i" is the imaginary unit equal to the square root of -1. This means that the square root of negative 37 is the square root of 37 multiplied by the imaginary unit "i".
What is the square root of a negative number written in the form bi where b is a real number and you is the square root of the negative?
Imaginary number
What is the number i?
i is the symbol for an imaginary number, a complex number with the property i2=-1. The square root of a negative number is the square root times i. For example, the square root of -9 = 3i.
The square root of a negative value is called an or complex number?
The square root of a negative value is called an imaginary number.
