7. Which of the following imply that the real number x must be rational? I. x, x7are both rational II. x, x are both rational II. x5, x are both rational O I, Il only O I, IlIl only O II, Il only O Il only O None of these combinations Tagged in

Zoe Oneal 2020-11-01 Answered
7. Which of the following imply that the real number x must be rational? I. x, x7are both rational II. x, x are both rational II. x5, x are both rational
O I, Il only
O I, IlIl only
O II, Il only
O Il only
O None of these combinations Tagged in
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Expert Answer

Mitchel Aguirre
Answered 2020-11-02 Author has 94 answers
Given
The real number x be the rational number .
Let x=p/q and n be the any exponent of x .
xn=(p/q)n
=(p/q)(p/q)(p/q)(p/q)...(p/q)
xn=(pn/qn)
Here multiplication of rational number is rational number .
By using above expression
x5,x6,x7,x8 are rational numbers .
There is no option with all conditions.
Therefore , The none of these combination is correct option.
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