M=sqrt2N=sqrt5S=2T=5Which expressions result in an irrational number? Select all that apply. M+NM*NS+TS*TM*SN+TN^2

Irrational numbers are real numbers which cannot be expressed as a ration or fraction between two integers. They never repeat and go on forever without an end.

irrational number + rational number = irrational number
irrational number x rational number = irrational number

Here, M and N are irrational numbers while S and T are rational. Because,
M = √2 = 1.414213.........
N = √5 = 2.236067..........

S = 2 = 2/1
T = 5 = 5/1

So,
M + N = 3.650281...... - Irrational number
M x N = 3.162277...... - irrational number
S + T =  5                    - rational number
S x T = 10                   - rational number
M x S = 2.828427.......- irrational number
N + T = 7.236067.......- irrational number
N²      = 5                    - rational number