·If `m = 1/(3-2sqrt2) and n=1/(3+2sqrt2) ` find : (1)`m^2` (2) `n^2` (3) `mn`

If m = (1)/(3-2sqrt(2)) and n = (1)/(3+2sqrt(2)) find : (i) m^(2) (ii) n^(2) (iii) mn

If m = 9 and n = (1)/(3)m , then sqrt((m)^(2) - (n)^(2) = ?)

If (m + n)/(m + 3n) = (2)/(3) , find : (2n^(2))/(3m^(2) + mn) .

If m=root3(125) and n=root3(64) , find the value of m-n-(1)/(m^(2)+mn+n^(2)) .

If l : m = 2 (1)/(2) : 1(2)/(3) and m : n = 1 (1)/(4) : 3 (1)/(2) , find l : m : n

If m = 1, n = 2 and p = -3, find the value of : 2mn^(4)-15m^(2)n+p

If m = root(3)(15) and n = root(3)(14) , find the value of m - n - (1)/(m^(2) + mn + n^(2))

If m + (1)/(m) = sqrt3 , then find the simpliest value of (i) m^(2) + (1)/(m^(2)) and (ii) m^(3) + (1)/(m^(3)) :

If m=root(3)(15) and n=root(3)(14) ,find the value of m-n-(1/(m^(2)+mn+n^(2)))