Question

Is √71 rational or irrational? Explain your reasoning.

Answer 1

\[\sqrt{71}\] is irrational because
\[\sqrt{a}\]is irrational unless a is a perfect square

Answer 2

proof requires fundamental theorem of arithmetic. it is not hard but i doubt it is what is expected in this answer

Answer 3

Irrational.

Answer 4

http://www.homeschoolmath.net/teaching/proof_square_root_2_irrational.php