Respuesta :

Answer:

Irrational number

Step-by-step explanation:

A number which can be written in the form of a fraction [tex]\frac{p}{q}[/tex], is a rational number.

Examples : [tex]\frac{1}{2}, \frac{3}{4}, 1.41414141....[/tex]

In 1.41414141..... (41) is the repeating numbers after decimal. Therefore, it's a rational number.

Irrational numbers can't be written in the form of [tex]\frac{p}{q}[/tex].

Examples : π, √3, 1.41456......

Given number in the question is 6.56556555....

In this number numbers after decimal are not repeating.

Therefore, given number is irrational.