The correct option is B False
Let us assume that the square root of the prime number p is rational.
Hence we can write √p=ab where a and b are coprime numbers.
Then p=a2b2 and so pb2=a2.
Hence, p divides a2,so p divides a.
Substitute a by pk. Find out that p divides b.
Hence, this is a contradiction as they should be relatively prime i.e., H.C.F.(a,b)=1.
∴ √3 is irrational.
⇒ 1+√3 is an irrational number.