Show that if $r$ and $s$ are any two rational numbers,then $r + s^{2}$ is rational.

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Solution

Suppose $r = \frac{1}{2}$
$s = \frac{2}{3}$
so
$r + s^{2}$
$\frac{1}{2} + {(\frac{2}{3})}^{2}$
$= \frac{1}{2} + \frac{4}{9}$
$= \frac{9 + 8}{18} = \frac{17}{18}$
yes it $r$ and $s$ are any two rational numbers then $r + s^{2}$ is rational number.

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Show that if r and s are any two rational numbers,then r+s2 is rational.

Suppose r=12s=23sor+s212+(23)2=12+49=9+818=1718yes it r and s are any two rational numbers then r+s2 is rational number.

Show that if $r$ and $s$ are any two rational numbers,then $r + s^{2}$ is rational.

Suppose $r = \frac{1}{2}$
$s = \frac{2}{3}$
so
$r + s^{2}$
$\frac{1}{2} + {(\frac{2}{3})}^{2}$
$= \frac{1}{2} + \frac{4}{9}$
$= \frac{9 + 8}{18} = \frac{17}{18}$
yes it $r$ and $s$ are any two rational numbers then $r + s^{2}$ is rational number.