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