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Show that x is rational if : x^(2)=0.0...

Show that x is rational if :
`x^(2)=0.0004`

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Which of the following conditions imply that the real number x is rational ? (i) x^(1//2)"is rational"" "(ii) x^(2)and x^(5) "are rational"" "(iii) x^(2)and x^(4)"are rational"