Question

find 3 irrational nubers between 4 &5

Answer 1

\[4=\sqrt{16},~~~~~~~~5=\sqrt{25}\]

17, 18, 19, 20, 21, 22, 23, 24

\[example:~~~~~~~~\sqrt{18}\]

Answer 2

Clever :) another way is to use a known irrational number like \(\large \sqrt{2}\) :

\(\large 4 + \dfrac{1}{k\sqrt{2}}\)

\(k = 1,2,3....\) all will be infinite irrational numbers between 4 and 5 (wana prove ?)

Answer 3

all irrational numbers are numbers that cannot be reduced into a simple fraction btw