Question

t⁴=256, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers.

Answer 1

T⁴ = 256

=> T = 4√256

=> T = 4

Since 4 is a rational number, the variable T is a rational number.

Since X ,Y, Z are not given, nothing can be said about their property.

Answer 2

$t ^{4} = 256 \\ t ^{4} = {4}^{4} \\ t = 4 \\ Since \: 4 \: is \: a \: rational \: number , \: variable \: "t" \: is \: a \: rational \: number$