If `m`, `n` are positive integers and `m+nsqrt(2)=sqrt(41+24sqrt(2))`, then `(m+n)` is equal to

If one root of the equation lx^(2)+mx+n=0 is (9)/(2) equal to (l,m and n are positive integers) and (m)/(4n)=(l)/(m), then l+n is equal to

If a ,\ m ,\ n are positive integers, then {root(m)root (n)a}^(m n) is equal to (a) a^(m n) (b) a (c) a^(m/n) (d) 1

If m and n are positive integers and (m – n) is an even number, then (m^(2) - n^(2)) will be always divisible by

If one root of the equation lx^2+mx+n=0 is 9/2 (l, m and n are positive integers) and m/(4n)=l/m , then l+ n is equal to :

If m and p are positive integer and (2sqrt(2))^(m)=32^(n) , what is the value of (p)/(m) ?

3.If m o* n are positive integers such that m^(2)+2n=n^(2)+2m+5, then the value of n is

If m and n are positive integers such that (m-n)^(2)=(4mn)/((m+n-1)) , then how many pairs (m, n) are possible?

If m and n are positive integers and (2^(18))(5^m) = (20^n) , what is the value of m?