Square root of 5 is the positive real number that multiplied by itself gives the number 5. root of 5 is 2.23...
Square root of 3 is the positive real number that multiplied by itself gives the number 3. root of 3 is 1.73... infinite decimal
Irrational number can be written as a decimal but not as a fraction.
Root 5 is irrational number and root 3 is irrational number . That is the reason why also their sum is an irrational number.