Is the square root of 160 rational or irrational?

The square root of 160 is irrational. This is because 160 can be factored into its prime components as (160 = 16 \times 10 = 4^2 \times 10), and since the square root of 10 is irrational, the overall square root (\sqrt{160} = 4\sqrt{10}) is also irrational. Thus, (\sqrt{160}) cannot be expressed as a fraction of two integers.