Home » Simplify 5(sqrt{18}) – 3(sqrt{72}) + 4(sqrt{50})

Simplify 5(sqrt{18}) – 3(sqrt{72}) + 4(sqrt{50})

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})
Correct Answer: Option C
Explanation

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})