Question : If $x=(0.25)^\frac{1}{2}$, $y=(0.4)^{2}$, and $z=(0.216)^{\frac{1}{3}}$, then:
Option 1: $y>x>z$
Option 2: $x>y>z$
Option 3: $z>x>y$
Option 4: $x>z>y$
Answer (1)
8th Jan, 2024
Correct Answer: $z>x>y$
Solution :
$x=0.25^\frac{1}{2}=\sqrt{0.25}=0.5$
$y=0.4^2=0.16$
$z=0.216^\frac{1}{3}=\sqrt[3]{0.216}=0.6$
Clearly, $z>x>y$
Hence, the correct answer is $z>x>y$.
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