method to find irrational no's between root 3 & root 5???

   If a and b are two distinct  positive  irrational numbers then  ab   is an irrational number lying between a &  b

Irrational number between .2 and  5  is  2 x  5 =    10  =  10^1/4

  I rational number between  2 and    10 to the power 1/4  is  2^1/4  x 10^1/8

hence required two irrational number are  10^1/4 and  2^1/4 x  10^1/8