Question

Determine if each root is a rational or irrational number. Explain your reasoning.
A:√ 36
B.√ 78

Answer 1

A rational number is a number that can be written as a ratio of two integers.

A irrational number is a number that cannot be written as the ratio of two integers.

√ 36 = ± 6 = ± 6 / 1

√ 36 is a rational number


√ 78 = ±√ 2 ∙ 3 ∙ 13 = ± √ 2 ∙ √ 3 ∙ √ 13

√ 2 , √ 3 and √ 13 cannot be written as the ratio of two integers so

√ 78 is a irrational number

Answer 2

I don't under stand🤔

Answer 3

thanks🙂

Answer 4

is considered an irrational number. What makes this number irrational? Explain your reasoning.