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

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

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

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 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 p,q varepsilon N satisfy the equation x^(sqrt(x)=(sqrt(x))^(x)) then p&q are

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

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: