A polynomial f𝑓 with rational coefficients has 5−√35−3 as a root. Find another root of f.

Question

A polynomial f𝑓 with rational coefficients has 5−√35−3 as a root. Find another root of f.
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Solution 1

The roots of a polynomial with rational coefficients always come in conjugate pairs if they are complex or irrational. The conjugate of a number is formed by changing the sign of its imaginary (or irrational) part.

Given that one root is 5 - √3 - √5, the conjugate of this root would be 5 + √3 + √5 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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