From their location in the diagram, what are two possible values for m and n?
Answers
Given : n is rational number but not integer
m irrational number
To Find : possible values for n and m
n = -8/4 , m = √3
n = 3 1/3 m = 0.6
n = 7/5 , m = √5
n =√2 , m = √9
Solution :
rational number = p/q where p and q are integers q ≠ 0
n is rational number but not integer hence q = 1 when p & q are co primes
n = -8/4 = - 2 is integer ( not satisfying)
m = √3 = irrational
n = 3 1/3 = 10/3 rational but not integer
m = 0.6 =6/10 not irrational ( not satisfying)
n = 7/5 rational but not integer
m = √5 irrational
Hence this pair satisfying both
n =√2 irrational ( not satisfying)
m = √9 = 3 not irrational ( not satisfying)
two possible values for n and m
n = 7/5 rational but not integer
m = √5 irrational
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