Question

In the following equation, find whether variable $t$ represents rational or irrational number:
$t^4=256$

Answer 1

The given equation is $t^4=256$

$t^4=256$

$\Rightarrow t^4=(\pm 4{)}^4$

$\Rightarrow t=\pm 4$

$4$ and $-4$ both are rational numbers.

Hence, $t$ represents rational numbers.