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This is best done if the complex number is in polar coordinates - that is, a distance from the origin, and an angle. Take the square root of the argument (the absolute value) of the complex number; and half the angle.

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Q: How do you find square root of a complex number?
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What is the absolute value of a complex number?

The absolute value of a complex number a+bi is the square root of (a2+b2). For example, the absolute value of 4+9i is the square root of (42 + 92) which is the square root of 97 which is about 9.8489 (The absolute value of a complex number is not complex.)


What is the square root of 1500?

The square root of 1500 is 38.7298335


Is the square root of 24 real complex or imaginary?

The square root of any positive real number (as in this case) is a real number. (Such square roots are usually irrational.)The square root of a negative real number, such as the square root of -15, is an imaginary, and therefore also a complex, number.


Is the square root of 1 a rational number?

Yes, the square root of 1 is 1.


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.


HOW to take out fourth square root of a NUMBER?

The fourth square root is the 16th root of a number. On a computer, to find the 16th root of a number, say 5.6, enter 5.6^(1/16). If the number you start with is positive, you will have 2 real roots (one positive and one negative) and 14 complex roots. If it is negative, you will have 16 complex roots.


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.


What is the square root of a value that is called an imaginary or complex number?

The square root of i=(i)^.5 = .707+.707i


If you divide 4 by the square root of -7 and then times that by the square root of sin30 how many swag points will you gain?

I am not sure what you want to calculate; anyway, the square root of a negative number is a complex number: in this case, "i" multiplied by the square root of 7. The remaining calculations will also result in complex numbers. When you calculate points, you usually want a real number, not a complex number.


Is the square root of 2 is rational or irrational?

The square root of (any number that isn't a perfect square) is irrational.


What is the square root of negative 144?

The negative square root of -144 is -12i - that is -12 times the square root of minus 1, ie √-144 = 12√-1. The above is a complex number, which I suspect is not the answer you wanted; there is no real number that is the square root of a negative number If you wanted the negative square root of 144, then it is -12.


How to solve X squared plus 4 equals zero?

x2 + 4 = 0 then get the x on one side. x2 = -4 then find the square root of both which would cancel the square on the x. therefore the answer is: x = the square root of -4 = i squared root 4, which is a complex number ( imaginary number) since you cannot find the square root of oa negative number