tex]...

July 2022 1 11 Report

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[tex] \sqrt{ \frac{x}{y} \sqrt{ \frac{y}{x} \sqrt[3]{ \frac{x}{y} } } } \sqrt[3]{ \frac{y}{x} } [/tex]

[tex] \sqrt{x \sqrt{x \sqrt{x \sqrt{x} } } } : \sqrt[16]{ x^{11} } [/tex]

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Artem112

Verified answer

$\sqrt{ \frac{x}{y} \sqrt{ \frac{y}{x} \sqrt[3]{ \frac{x}{y} } } } \sqrt[3]{ \frac{y}{x} } =
 \sqrt[12]{ \frac{xy^3x^6}{yx^3y^6} } \sqrt[3]{ \frac{y}{x} } =
 \sqrt[12]{ \frac{x^4}{y^4} } \sqrt[3]{ \frac{y}{x} } =
 \sqrt[3]{ \frac{x}{y} } \sqrt[3]{ \frac{y}{x} } =1$

$\sqrt{x \sqrt{x \sqrt{x \sqrt{x} } } } : \sqrt[16]{ x^{11} } =
 \sqrt[16]{xx^2x^4x^8} : \sqrt[16]{ x^{11} } =
 \sqrt[16]{x^{15}} : \sqrt[16]{ x^{11} } = \\\ = \sqrt[16]{x^{4}} = \sqrt[4]{x}$

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