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If $$x = {\left( {0.25} \right)^{\frac{1}{2}}},$$ $$y = {\left( {0.4} \right)^2},$$ $$z = {\left( {0.216} \right)^{\frac{1}{2}}}$$ then-
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& x = {\left( {0.25} \right)^{\frac{1}{2}}} \cr
& x = \root 2 \of {0.25} = 0.5{\text{ }} \cr
& y = {\left( {0.4} \right)^2} \cr
& y = 0.16 \cr
& z = {\left( {0.216} \right)^{\frac{1}{2}}} \cr
& z = \root 2 \of {0.216} = 0.464 \cr
& \therefore x > z > y \cr} $$
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