Correct option is AGiven:(9+45)\sqrt{(9 + 4\sqrt{5})}(9+45) Formula Used:(a − b)² = a² + b² − 2abSolution:(9+45)=(5+4+45)=(52+22+2×2×5)=(5+2)2=5+2\sqrt{(9 + 4\sqrt{5})}\\= \sqrt{(5 + 4 + 4\sqrt{5})}\\= \sqrt{(\sqrt{5}^2 + 2^2 + 2 \times 2 \times \sqrt{5})}\\= \sqrt{(\sqrt{5} + 2)^2}\\= \sqrt{5} + 2\\(9+45)=(5+4+45)=(52+22+2×2×5)=(5+2)2=5+2