Simplify the following expression:
(5+2)(\sqrt{5} + \sqrt{2})(5+2) 2
= (a + b)2
= a2 + 2ab + b2
= (5)(\sqrt{5})(5) 2 + 2 x (5)(\sqrt{5})(5) x (2)(\sqrt{2})(2) + (2)(\sqrt{2})(2) 2 [∵ (a + b)2 = a2 + 2ab + b2]
= 5 + 2 (10)(\sqrt{10})(10) + 2
= 7 + 2 (10)(\sqrt{10})(10)
Hence,(5+2)(\sqrt{5} + \sqrt{2})(5+2) 2 = 7 + 2 (10)(\sqrt{10})(10)
