$\sqrt {4\;} ,\sqrt[4]{4},\;\sqrt[8]{4},\;\sqrt[{16}]{4},\; \ldots {\rm{to}}\;\,\infty $ are root of equation

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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\sqrt {4\;} ,\sqrt[4]{4},\;\sqrt[8]{4},\;\sqrt[{16}]{4},\; \ldots \mathrm{to}\;\,\infty

are root of equation

View answer and explanation

Correct option: C

{x^2} - 5x + 4 = 0

Option C (

{x^2} - 5x + 4 = 0

) is correct because the sum and product of the given roots match the coefficients of this quadratic equation.

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