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What is the multiplicative inverse of 4 i?
The multiplicative inverse of a complex number is found by taking the reciprocal of the number. In this case, the reciprocal of 4i is -1/4i. To find the reciprocal, you divide 1 by the complex number, which results in -1/4i. This is the multiplicative inverse of 4i.
What is absolute value?
Absolute Value is the distance the number is from zero on the number line. It is always a positive value.Ex. |-74| = 74Ex. AV -6 = |-6| = 6Ex. (a=2) AV a2 - 3a = |a2 - 3a| = |22 - 2*3| = |4 - 6| = |-2| = 2It can also be termed as the square root of the sum of the square of the real numbers in a complex number.Absolute value is the distance from zero. so: |3| = 3 and |-3| = 3 also because they are both three spaces away from zero.---The absolute value is the the magnitude of a number, ignoring sign (or in the case of complex numbers, the real/imaginary parts as well).For real numbers, it can be said that the absolute value is the distance of the number away from zero. On a number line: .....|.....|.....|.....-4 0 4The absolute value of both 4 and -4 (|4| and |-4|) are 4, because they are 4 units away from zero.In the complex plane, the absolute value is typically called its magnitude. Then the magnitude of a number is its distance on the Re-Im plane from the orgin (absolute zero). So a number 3+4i is three units right on the Real (x) axis, and 4 units up on the Imaginary (y) axis. Forming a right triangle, with sides 3, and 4, the hypotenuse would be the line from this point to the origin. Using the pythagorean theorem, the distance of this point to the origin is √(32+42) = 5.(see the related link)
What is the product for 2 plus 4i?
A product is a binary operatoin. That is, it requires two numbers to be combined. There is only one number, 2 + 4i, in the question.
Is the square root of any real number always positive?
The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i
What is the conjugate of -6 plus 4i?
-6-4i.
