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the square root of the cube root of a number is 3 find the number.​

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[tex] \large\underline{ \bold{ANSWER}}[/tex]

[tex]\longmapsto\sf{\sqrt[2]{\sqrt[3]{x}}=3}[/tex]

[tex]\longmapsto\sf{\sqrt[6]{x}=3}[/tex]

[tex]\longmapsto\sf{(\sqrt[6]{x})^6=3^6}[/tex]

[tex]\longmapsto\sf{(\sqrt[\cancel{6}]{x})^{\cancel{6}}=729}[/tex]

[tex]\longmapsto\boxed{\sf{x=729}}[/tex]

[tex] \large\underline{ \bold{ANSWER}}[/tex]

  • [tex]\textrm{The number is 729}[/tex]

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