Answer:

yes it is irrational

Step-by-step explanation:

√11+√7

spoz a= √11+√7

a= √11+√7

a-√11=√7

(a-√11)^2=(√7)^2

a^2-2√11a+11^2=49

a^2 -2√11a+121 = 49

a^2-2√11a+121-49=0

a^2-2√11a+72=0

but √11 is irrational number

so √11+√7 is an irrational number..

this is your answer....