" Find the positive integers "p,q,r,s" satisfying "tan(pi)/(24)=(sqrt(p)-sqrt(q))(sqrt(r)-s)

cot(7((1)/(2))^(@)=sqrt(p)+sqrt(q)+sqrt(r)+sqrt(s)

sqrt(x^(p-q))sqrt(x^(q-r))sqrt(x^(r-p))=1

If p ,\ q are prime positive integers, prove that sqrt(p)+sqrt(q) is an irrational number.

If p,q are prime positive integers,prove that sqrt(p)+sqrt(q) is an irrational number.

If r,s,t are prime numbers and p,q are the positive integers such that LCM of p,q is r^(2)s^(4)t^(2) , then the number of ordered pairs (p,q) is:

If p and q are positive integers, then which one of the following equations has p-sqrt(q) as one of its roots ?

If p,q,r,s are proportional then ((p-q)(p-r))/(p)=

The value of sqrt(p^(-1)q).sqt(q^(-1)r).sqrt(r^(-1) p) is