CATAlgebra > Medium3313\sqrt{31}331373\sqrt{7}37272\sqrt{7}27454\sqrt{5}45✅ Correct Option: 2Related questions:CAT 2020 Slot 1How many distinct positive integer-valued solutions exist to the equation (x2−7x+11)(x2−13x+42)=1?\left(x^{2}-7 x+11\right)^{\left(x^{2}-13 x+42\right)}=1 ?(x2−7x+11)(x2−13x+42)=1?CAT 2023 Slot 3Let nnn and mmm be two positive integers such that there are exactly 414141 integers greater than 8m8^m8m and less than 8n8^n8n, which can be expressed as powers of 222. Then, the smallest possible value of n+mn + mn+m isCAT 2020 Slot 3If a,b,ca, b, ca,b,c are non-zero and 14a=36b=84c14^a = 36^b = 84^c14a=36b=84c, then 6b(1c−1a)6b \left( \frac{1}{c} - \frac{1}{a} \right)6b(c1−a1) is equal to