Which of the following is an irrational number?

Question

Which of the following is an irrational number?

A. 8–√

B. 522

C. 49−−√

D. 0.333

Answer 1

square root of 8 is 2sqr2 which is an irrational number

522 = 522/1 is rational

square root of 49 is 7 or 7/1 which is rational

0.333333....= 1/3 which is rational

0.333 = 333/1000 which is rational

if you can write the number as a fraction with integer numerator and denominator, then it's rational.

It's impossible to write square root of 8 as a fraction with integer numerator and denominator.