Question

if m and n are distinct natural numbers then which of the following is /are integer (s) ? i. (m/n )+(n/m) . ii. mn((m/n)+(n/m)) (m*m+n*n). iii. mn/m*m+n*n​

Answer 1

Answer:

there are two distinct integers m and n, namely m,n

such that

(ii). mn((m/n)+(mlm)) (m*m+n*n).

this is the correct option.

thank you

Answer 2

Answer:

b)mn((m/n)+(n/m)(m*m+n*n)

Step-by-step explanation:

we can prove this by taking values of m and n as m=1 and n=2, now put the values in equation b

1*2((1/2)+(2/1) (1*1+2*2)=1

hence 1 is an integer. so this option is the correct answer.

similarly putting the values in other option we are not getting the integer values for eg. in equation 1

(1/2)+(2/1)= 5/2, which is not an integer value.

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