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pi/90

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Q: What is the square root of 4 expressed in radians?
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Is the square root of -4 irrational?

The square root of -4 is not irrational, it is imaginary. Irrational numbers are numbers that cannot be expressed as a fraction, like the square root of 2. Irrational numbers, however, are a subset of real numbers. The square root of -4 however, is not even a real number because no real number, when squared, gives -4. Therefore the square root of -4 is an imaginary number.In calculus, the root is expressed as 2i where iis the square root of -1.


Find the square root of a complex number system?

Probably the best way is to change the complex number to its polar form, [or the A*eiΘ form] A is the magnitude or the distance from the origin to the point iin the complex plane, and Θ is the angle (in radians) measured counterclockwise from the positive real axis to the point. To find the square root of a number in this form, take the positive square root of the magnitude, then divide the angle by 2. Since there will always be 2 square roots for every number, to find the second root, add 2pi radians to the original angle, then divide by 2. Take an easy example of square root of 4. Which we know is 2 and -2. OK so the magnitude is 4 and the angle is 0 radians. zero divided by 2 is zero, and the positive square root of 4 is 2. Now for the other square root. Add 2pi radians to 0, which is 2pi, then divide by 2, which is pi. pi radians [same as 180°] points in the negative real direction (on the horizontal), so we have ei*pi = -1 and then multiply by sqrt(4) = -2. Try square root of i. i points straight up (pi/2 radians) with magnitude of 1. So the magnitude of the square root is still 1, but it points at pi/4 radians (45°). Converting back to rectangular gives you sqrt(2)/2 + i*sqrt(2)/2. The other square root will always point in the opposite direction [180° or pi radians]. So the other square root is at 225° or 5pi/4 radians, and the rectangular for this is -sqrt(2)/2 - i*sqrt(2)/2. Using FOIL (from Algebra) you can multiply it out like two binomials and you will get i when you square either of the two answers for square root.


What is the square root of 15.92?

Expressed as a surd, the square root of 15.92 is equal to sqrt(398)/5. Expressed as a decimal fraction rounded to two decimal places, this is equal to 3.99.


What is the square root of 4 plus square root of 5?

Expressed as a surd in its simplest form, sqrt(4) + sqrt(5) = 2 + sqrt(5). Expressed as a decimal, rounded to three decimal places, this is equal to 4.236.


Simplify the square root of 84?

Expressed as a surd, the square root of 84 is equal to 2 sqrt (21). √84 = √(4 x 21) = √4√21 = 2√21


Is the square root of -4 a rational number?

well the square root of 4 is 2 every integer is a rational number because it can be expressed as a/b example 2= 2/1 hope this helps K


What is the square root of 96?

Rounded to two decimal places, sqrt(96) = ±9.80. Expressed as a surd, this is equal to 4 sqrt(6).


What is the square root of six divided by the square root of forty eight?

Expressed as a surd in its simplest form, sqrt(6)/sqrt(48) = sqrt(2)/4. Expressed as a decimal, rounded to three decimal places, this is equal to 0.354.


Is square root of 4 a rational number?

well the square root of 4 is 2 every integer is a rational number because it can be expressed as a/b example 2= 2/1 hope this helps K


Is the square root 1 over square root 4 irrational rational?

Yes because any number that can be expressed as a fraction is a rational number and the answer in the question is 1/2 which is rational


What is 4 square root?

the square root of 4 is 2 square root 2


9 square root 4 minus 12 square root 4?

9 square root 4 minus 12 square root 4 = -6