Question

Select "Rational" or "Irrational" to classify each number.
4/5
√4/5
π√4
π√25/4

Answer 1

let's start with 4/5

do you think that's rational or irrational?

Answer 2

rational

Answer 3

good!

what about √4/5?

Answer 4

rational?

Answer 5

very good! since √4/5 = 2/5 it's rational

Answer 6

what about π√4 ?

Answer 7

i wanna say irrational

Answer 8

good job! since pi is irrational, π√4 must be as well

Answer 9

so the 4th one is rational because it a fraction right?

Answer 10

not quite

since pi is irrational, π√25/4 is also irrational

Answer 11

as a general rule: irrational number * rational = irrational

Answer 12

ok