AP EAMCET · Maths · Quadratic Equation
The minimum degree of a polynomial equation with rational coefficients having \(\sqrt{3}+\sqrt{27}, \sqrt{2}+5 i\) as two of its roots is
- A 8
- B 6
- C 4
- D 2
Answer & Solution
Correct Answer
(B) 6
Step-by-step Solution
Detailed explanation
The polynomial equation with rational coefficients having \(\sqrt{3}+\sqrt{27}, \sqrt{2}+5 i\) as two roots. Then, other roots are \[ \begin{aligned} & \sqrt{3}-\sqrt{27} \text { and } \sqrt{2}-5 i \\ & -\sqrt{3}+\sqrt{27} \text { and }-\sqrt{3}-\sqrt{27} \end{aligned} \]…
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