If 2 + sqrt (3) is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root

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Mathematics

Fluffy

12 April, 20:14

If 2 + sqrt (3) is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root

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Ralph Marsh · Answer 1

We are given the root of a polynomial root 2 + sqrt (3) in which we are asked in the problem to determine the other root of the polynomial. SInce this is an irrational number, then the other root should be the conjugate of that number. Hence the answer to this problem should be 2 - sqrt 3.