Question

Given universal set =
`{ -6, -5 3/4, -sqrt4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, sqrt8, 3.01, π, 8.47 }`

From the given set, find: set of irrational numbers

Answer 1

Given universal set =
`{-6, -5 3/4, -sqrt4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, sqrt8, 3.01, π, 8.47}`

We need to find the set of irrational numbers.

Irrational numbers are numbers which are not rational.

From the above subpart, the set of rational

Numbers is Q,

and Q = `{-6, -5 3/4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, 3.01, 8.47}`

Set of irrational numbers is the set of complement of the rational numbers over real numbers.

Here the set of irrational numbers is U - Q = {√8, π}