MATH SOLVE

2 months ago

Q:
# 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

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