CATAlgebra > Medium6+456+4\sqrt{5}6+453+553 + 5\sqrt{5}3+555+355+3\sqrt{5}5+357+357+3\sqrt{5}7+35✅ Correct Option: 4Related questions:CAT 2023 Slot 2If p2+q2−29=2pq−20=52−2pqp^{2}+q^{2}-29=2 p q-20=52-2 p qp2+q2−29=2pq−20=52−2pq, then the difference between the maximum and minimum possible value of (p3−q3)\left(p^{3}-q^{3}\right)(p3−q3) isCAT 2023 Slot 3If xxx is a positive real number such that x8+1x8=47x^8 + \frac{1}{x^8} = 47x8+x81=47, then the value of x9+1x9x^9 + \frac{1}{x^9}x9+x91 isCAT 2019 Slot 1The product of two positive numbers is 616616616. If the ratio of the difference of their cubes to the cube of their difference is 157:3157: 3157:3, then the sum of the two numbers is