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If \( \alpha \) and \( \beta \) be two roots of the equation \( x^{2}-64 x+256=0 \). Then the value of \( \left(\frac{\a…

Q1

If \( \alpha \) and \( \beta \) be two roots of the equation \( x^{2}-64 x+256=0 \). Then the value of \( \left(\frac{\alpha^{3}}{\beta^{5}}\right)^{1 / 8}+\left(\frac{\beta^{3}}{\alpha^{5}}\right)^{1 / 8} \) is :

[JEE Main 2020, 6 Sep (Shift 1)]

a

3

b

2

c

4

d

1

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