x=(0.25)12,x=(0.25)12,x = {\left( {0.25} \right)^{\frac{1}{2}}}, y=(0.4)2," role="presentation">y=(0.4)2,y=(0.4)2,y = {\left( {0.4} \right)^2}, z=(0.216)12" role="presentation">z=(0.216)12z=(0.216)12z = {\left( {0.216} \right)^{\frac{1}{2}}} then-" /> x=(0.25)12,x=(0.25)12,x = {\left( {0.25} \right)^{\frac{1}{2}}}, y=(0.4)2," role="presentation">y=(0.4)2,y=(0.4)2,y = {\left( {0.4} \right)^2}, z=(0.216)12" role="presentation">z=(0.216)12z=(0.216)12z = {\left( {0.216} \right)^{\frac{1}{2}}} then-" /> x=(0.25)12,x=(0.25)12,x = {\left( {0.25} \right)^{\frac{1}{2}}}, y=(0.4)2," role="presentation">y=(0.4)2,y=(0.4)2,y = {\left( {0.4} \right)^2}, z=(0.216)12" role="presentation">z=(0.216)12z=(0.216)12z = {\left( {0.216} \right)^{\frac{1}{2}}} then-" />

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If $x = {(0.25)}^{\frac{1}{2}},$ $x = {\left( {0.25} \right)^{\frac{1}{2}}},$ $y = {(0.4)}^{2},$ $y = {\left( {0.4} \right)^2},$ $z = {(0.216)}^{\frac{1}{2}}$ $z = {\left( {0.216} \right)^{\frac{1}{2}}}$ then-

1y > x > z
2x > y > z
3z > x > y
4x > z > y

Answer:- 1

Explanation:-

Solution:

\begin{aligned} x = {(0.25)}^{\frac{1}{2}} \\ x = \sqrt[2]{0.25} = 0.5 \\ y = {(0.4)}^{2} \\ y = 0.16 \\ z = {(0.216)}^{\frac{1}{2}} \\ z = \sqrt[2]{0.216} = 0.464 \\ ∴ x > z > y \end{aligned}

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y = {(0.4)}^{2},

$y = {\left( {0.4} \right)^2},$

z = {(0.216)}^{\frac{1}{2}}

$z = {\left( {0.216} \right)^{\frac{1}{2}}}$ then-", "text": "If

x = {(0.25)}^{\frac{1}{2}},

$x = {\left( {0.25} \right)^{\frac{1}{2}}},$

y = {(0.4)}^{2},

$y = {\left( {0.4} \right)^2},$

z = {(0.216)}^{\frac{1}{2}}

$z = {\left( {0.216} \right)^{\frac{1}{2}}}$ then-", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} x = {(0.25)}^{\frac{1}{2}} \\ x = \sqrt[2]{0.25} = 0.5 \\ y = {(0.4)}^{2} \\ y = 0.16 \\ z = {(0.216)}^{\frac{1}{2}} \\ z = \sqrt[2]{0.216} = 0.464 \\ ∴ x > z > y \end{aligned}

$\eqalign{ & x = {\left( {0.25} \right)^{\frac{1}{2}}} \cr & x = \root 2 \of {0.25} = 0.5{\text{ }} \cr & y = {\left( {0.4} \right)^2} \cr & y = 0.16 \cr & z = {\left( {0.216} \right)^{\frac{1}{2}}} \cr & z = \root 2 \of {0.216} = 0.464 \cr & \therefore x > z > y \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: