If a and b are positive integers with no common factor, show that `[a/b]+[[2a)/b]+[[3a)/b]+....[[(a-1)0)/b]=((a-1)(b-1))/2`,when [;] denctes the

If a and b are positive integers with no common factor,show that [(a)/(b)]+[(2a)/(b)]+[(3a)/(b)]......[((b-1)a)/(b)]=((a-1)(b-1))/(2) when [.] shows the greatest integer function

Let a and b be positive integers. Show that sqrt2 always lies between a/b and (a+2b)/(a +b) .

If a > b and n is a positive integer, then prove that a^n-b^n > n(a b)^((n-1)//2)(a-b)dot

If a > b and n is a positive integer, then prove that a^n-b^n > n(a b)^((n-1)//2)(a-b)dot

If a,b, and c are positive and a+b+c=6 show that (a+1/b)^(2)+(b+1/c)^(2)+(c+1/a)^(2)>=75/4

Let a and b be positive integers.Show that sqrt(2) always lies between and (a)/(b) and (a-2b)/(a+b)

If a and b are positive integers satisfying (a+3)^(2)+(b+1)^(2)=85 , what is the minimum value of (2a+b)?

Suppose a, b, c are positive integers with altbltc such that 1//a+1//b+1//c=1 . The value of (a+b+c-5) is …………

Suppose a, b, c are positive integers with altbltc such that 1//a+1//b+1//c=1 . The value of (a+b+c-5) is …………

Suppose a, b, c are positive integers with altbltc such that 1//a+1//b+1//c=1 . The value of (a+b+c-5) is …………