John states that the products of two real numbers is a real number. Extending this to imaginary numbers. John states that the product of two imaginary numbers must be imaginary. Is his statement correct? Explain

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05-01-2021
Mathematics

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John states that the products of two real numbers is a real number. Extending this to imaginary numbers. John states that the product of two imaginary numbers must be imaginary. Is his statement correct? Explain

Sagot :

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AbsorbingMan AbsorbingMan · Answer 1 · 2021-01-05T22:42:27-05:00

Answer:

No, this is a wrong statement.

Step-by-step explanation:

In the context, it is given that John states that the product of two the real numbers provides a number that is real. This is always true, the product is always a real number of two real number.

But the product of any two imaginary numbers is not a imaginary number, the product is always a real number.

So John provides a wrong statement in case of product of any two imaginary numbers.

John states that the products of two real numbers is a real number. Extending this to imaginary numbers. John states that the product of two imaginary numbers must be imaginary. Is his statement correct? Explain

Sagot :

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