Question

irrational or rational?

Answer 1

\[\sqrt{5/8}\]

Answer 2

can you simplify \[\sqrt8\]?

Answer 3

yess

Answer 4

ok, what does it simplify to?

Answer 5

2..4?

Answer 6

no

Answer 7

\[\sqrt8=\sqrt{2\times2\times2}=2\sqrt2\]so at this point we know that \(\sqrt8\) is irrational because \(\sqrt2\) is irrational and cannot be reduced
to find out if the whole thing is rational or not we need to see if we can cancel the \(\sqrt2\) in the numerator

can we?