Prove that root 5+root 3 is an irrational no.

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.