Determine if each root is a rational or irrational number. Explain your reasoning.

A:√ 36
B.√ 78

4 answers

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
I don't under stand🤔
thanks🙂
is considered an irrational number. What makes this number irrational? Explain your reasoning.
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