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(D) For equation $I$:$(441)^{\frac{1}{2}} x^{2} - 111 = (15)^{2}$$21 x^{2} - 111 = 225$$21 x^{2} = 336$$x^{2} = 16 \Rightarrow x = \pm 4$For equation

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if $x = y$ or relationship between $x$ and $y$ cannot be established.

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(D) For equation $I$:$(441)^{\frac{1}{2}} x^{2} - 111 = (15)^{2}$$21 x^{2} - 111 = 225$$21 x^{2} = 336$$x^{2} = 16 \Rightarrow x = \pm 4$For equation $II$:$\sqrt{121} y^{2} + (6)^{3} = 260$$11 y^{2} + 216 = 260$$11 y^{2} = 44$$y^{2} = 4 \Rightarrow y = \pm 2$Comparing the values:If $x = 4$,then $x > y$ (since $y = 2$ or $-2$).If $x = -4$,then $x Since we get different results for different values of $x$ and $y$,the relationship between $x$ and $y$ cannot be established.

Solve the given two equations and select the correct answer from the given options.
$I.$ $(441)^{\frac{1}{2}} x^{2} - 111 = (15)^{2}$
$II.$ $\sqrt{121} y^{2} + (6)^{3} = 260$

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Solve the given two equations and select the correct answer from the given options.$I.$ $(441)^{\frac{1}{2}} x^{2} - 111 = (15)^{2}$$II.$ $\sqrt{121} y^{2} + (6)^{3} = 260$