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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 i
So, the square root of -4 is 2i.
Similarly, we can find the square root of other negative numbers also.
Source: www.icoachmath.com
An imaginary number is defined to handle square roots of negative numbers. The imaginary unit i is defined as the 'positive' square root of -1.
What else can I help you with?
Can a no real number be a pure imaginary number?
If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.
Can you divide an imaginary number by a real number?
an imaginary number is imaginary so no (i guess) this answer kind of sucks
How do you simplify the imaginary number -125?
-125 is NOT an imaginary number.
Whats an imaginary number?
An imaginary number is a number that has the square root of -1 as one of its factors.
What is the definition of a pure imaginary number?
A pure imaginary number is a complex number that has 0 for its real part, such as 0+7i.
Can a number be imaginary but not pure imaginary?
Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.
Can a no real number be a pure imaginary number?
If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.
Can you divide an imaginary number by a real number?
an imaginary number is imaginary so no (i guess) this answer kind of sucks
How do you simplify the imaginary number -125?
-125 is NOT an imaginary number.
What does 7 divided by imaginary number equal?
That quotient would be an imaginary number. The actual number depends on exactly what imaginary number you divide the 7 by.
Is the difference of a complex number and its conjugate a real imaginary or pure imaginary number?
It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).
Is -23 an imaginary number?
No, but √-23 is. An imaginary number is the square root of a negative number.
Whats an imaginary number?
An imaginary number is a number that has the square root of -1 as one of its factors.
Are imaginary and complex numbers the same?
No. A complex number is a number that has both a real part and an imaginary part. Technically, a pure imaginary number ... which has no real part ... is not a complex number.
Is 13i pure imaginary?
Yes, (13i) is a pure imaginary number. A pure imaginary number is one that can be expressed in the form (bi), where (b) is a real number and (i) is the imaginary unit. Since (13i) has no real part and consists solely of the imaginary part (13), it qualifies as pure imaginary.
Is the square root of negative two an irrational number?
No, it is an imaginary number which is a complex number.
Is 3i an irrational number?
No. It is an imaginary (or complex) number.
