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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.

Q: What is an imaginary number?

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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.

an imaginary number is imaginary so no (i guess) this answer kind of sucks

-125 is NOT an imaginary number.

An imaginary number is a number that has the square root of -1 as one of its factors.

A pure imaginary number is a complex number that has 0 for its real part, such as 0+7i.

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Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.

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.

an imaginary number is imaginary so no (i guess) this answer kind of sucks

-125 is NOT an imaginary number.

That quotient would be an imaginary number. The actual number depends on exactly what imaginary number you divide the 7 by.

It is a pure imaginary number.Since (a+bi)-(a-bi) = 2bi, it is a pure imaginary number (it has no real component).

No, but √-23 is. An imaginary number is the square root of a negative number.

An imaginary number is a number that has the square root of -1 as one of its factors.

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.

No. It is an imaginary (or complex) number.

No, it is an imaginary number which is a complex number.

The imaginary unit number is the square root of -1 and is denoted by i