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

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

If (sqrt(p+2q)+sqrt(p-2q))/(sqrt(p+2q)-sqrt(p-2q)) , then show that qx^2-px+q=0

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 = (3-sqrt(5))/(3+sqrt(5)) and q = (3+sqrt5)/(3-sqrt(5)) ,find the value of p^(2) + q^(2) .

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

If p= (sqrt3- sqrt2) /( sqrt3+ sqrt2) and q= (sqrt3+sqrt2)/( sqrt3- sqrt2) , find the value of p^(2) +q^(2) .

If x=(sqrt(p^(6)+q^(2))+sqrt(p^(2)-q^(2)))/(sqrt(p^(2)+q^(2))-sqrt(p^(2)-q^(2))) then q^(2)x^(2)-2p^(2)x+q^(2)=?

If p=(sqrt5-sqrt3)/(sqrt5+sqrt3), q=(sqrt5+sqrt3)/(sqrt5-sqrt3) , find the value of (p^2-pq+q^2)/(p^2+pq+q^2)

If p+q = sqrt(13) and p-q = sqrt(5) , then the value of 2pq is