Question
Show that $x$ is rational, if $x^2=1 \frac{7}{9}$

Answer

$x^2=1 \frac{7}{9}$
$\mathrm{x}^2=\frac{16}{9}$
$x=\sqrt{\frac{16}{9}}$
$ x=\frac{4}{3}$
It is a Rational.

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