Simplify 5\(\sqrt{18}\) - 3\(\sqrt{72}\) + 4\(\sqrt{50}\)
A
17\(\sqrt{4}\)
B
4\(\sqrt{17}\)
C
17\(\sqrt{2}\)
D
12\(\sqrt{4}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
5\(\sqrt{18}\) - 3\(\sqrt{72}\) + 4\(\sqrt{50}\) = 5(3\(\sqrt{2}\)) - 3(6\(\sqrt{2}\)) + 4(5\(\sqrt{2}\))
15\(\sqrt{2}\) - 18\(\sqrt{2}\) + 20\(\sqrt{2}\) = 35\(\sqrt{2}\) - 18\(\sqrt{2}\)
= 17\(\sqrt{2}\)
Source: Myschool Past Questions Archive (Record #31296)