Question

Insert four irrational numbers between 3 root 2 and 2 root 3

Answer 1

3√2 > √17 > √15 > √14 > √13 > 2√3

Explanation:

`3\sqrt2=√(3^2\cdot2)=√(18)\\\\2\sqrt3=√(2^2\cdot3)=√(12)\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>√(17)>√(15)>√(14)>√(13)>2√(3)`

{√16 = 4 is rational}