Question

Given: L= √2

M =3 √3
N = √16
P= √9
Which expression results in a rational number?
(1) L + M (3) N + P
(2) M + N (4) P + L

Answer 1

`L=√(2) \\ M=3√(3)\\ N=√(16)=4 \\ P=√(9)=3`


`L+M=√(2)+3√(3) \\ not \ rational \\ \\ M+N=3√(3)+4 \\ not \ rational \\ \\ N+P=4+3=7 \\ rational \\ \\ P+L=3+√(2) \\ not \ rational`

The answer is (3) N + P.