Question

Why can't "i" in complex numbers be equal to square root of -2 or square root of -3 ? Please answer.

Answer 1

Answer:

First, let's notice that −18 square root of, minus, 18, end square root is an imaginary number, since it is the square root of a negative number

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Answer 2

Answer:

we all know, If there hadn’t been −1−−−√ we would have not been introduced to Imaginary Number and Complex Number. Complex number provides a system for finding roots of Polynomial and Polynomials are used widely as theoretical model for various specialized field that include Electrical Engineering and Quantum Mechanics.Topics utilizing complex numbers include-

• The investigation of electrical current, wavelength.
• Liquid flow in relation to obstacles.
• Analysis of stress on beams.
• The movement of shock absorbers in cars.
• The study of resonance of structures.
• The design of dynamos and electric motors.
• The manipulation of large matrices used in modeling.
• In Electrical Engineering,Complex No. are considered as a convenient way to define electric circuits.
• The best use for imaginary no. is in Telecommunication that we use in our everyday life for internet and for TV Broadcasting. And in many more other fields.
• Imagine a world having no internet and Satellite Broadcasting is, that we were in before few decades ago,and compare it with now. These would have never possible without −1−−−√ because there would have not been Imaginary and Complex Number.

To sum up, our life surely would have not been like we are living now. It would have been a different world.

Step-by-step explanation:

• sqrt(x) refers to the positive square root of x, which is the principal square root. Complex numbers also have two square roots; the principal square root of a complex number z, denoted by sqrt(z), is always the one of the two square roots of z with a positive imaginary part.