Evaluate :
`sqrt(q) / ( sqrt(4q ) + sqrt(q) )`

If the ratio of roots of equation lx^(2) + nx + n= 0 is p: q then find the value sqrt((p)/(q)) + sqrt((q)/(p)) + sqrt((n)/(l)) = ?

If p = (sqrt(3q +2) + sqrt(3q-2))/(sqrt(3q + 2) - sqrt(3q-2)) then what is the value of p^(2)- 3pq + 2 ?

If P and Q are two points on the circle x^2 + y^2 - 4x + 6y-3=0 which are farthest and nearest respectively from the point (7, 2) then. (A) P-=(2-2sqrt(2), -3-2sqrt(2)) (B) Q-= (2+2sqrt(2), -3 + 2 sqrt(2)) (C) P-= (2+2sqrt(2), -3 + 2 sqrt(2)) (D) Q-= (2-2sqrt(2), -3 + 2 sqrt(2))

If A=[(0, 2q, r),(p, q, -r),(p, -q, r)] and A A'=I then value of |p| is equal to (A) 1/sqrt3 (B) 1/sqrt2 (C) 1/sqrt6 (D) 1/sqrt5

If p and q are distinct primes and xxDelta = |(sqrt(pq),p i,q+sqrt(pq)),(psqrt(q),sqrt(p)+psqrt(p)i,qsqrt(p)+sqrt(p) qi),(qsqrt(p), sqrt(p)+psqrt(q)i,qsqrt(q)+p i)|xx

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

Evaluate: int(dx)/((x-p)sqrt((x-p)(x-q)))

Let a,b in Q such that that (39sqrt(2)-5)/(3-sqrt(2))=a+b sqrt(2), then

If x=(sqrt(p+q)+sqrt(p-q))/(sqrt(p+q)-sqrt(p-q)) find the value of qx^(2)-2px+q