If x=54, y=2, z=43 then

x=54, y=2, z=43 Equating the orders ⇒534×3, 262×6, 443×4 ⇒ 12512,6412, 25612 ∴z>x>y

x=54, y=2, z=43 Equating the orders ⇒534×3, 262×6, 443×4 ⇒ 12512,6412, 25612 ∴z>x>y

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If $x = \sqrt[4]{5}, y = \sqrt{2}, z = \sqrt[3]{4}$ then

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x > y > z

x < y < z

z > x > y

y > z > x

answer is C.

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x = \sqrt[4]{5}, y = \sqrt{2}, z = \sqrt[3]{4}

Equating the orders

$\Rightarrow \sqrt[4 \times 3]{5^{3}}, \sqrt[2 \times 6]{2^{6}}, \sqrt[3 \times 4]{4^{4}}$

$\Rightarrow \sqrt[12]{125}, \sqrt[12]{64}, \sqrt[12]{256}$

$∴ z > x > y$

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