Simplify: (sqrt{108} + sqrt{125} – sqrt{75})
-
A.
(sqrt{3} + 5sqrt{5}) -
B.
(6 sqrt{3} – 5 sqrt{5}) -
C.
(6 sqrt{3} + sqrt{2}) -
D.
(6sqrt{3} – sqrt{2})
Correct Answer: Option A
Explanation
(sqrt{108} + sqrt{125} – sqrt{75})
= (sqrt{3 times 36} + sqrt{5 times 25} – sqrt{3 times 25})
= (6 sqrt{3} + 5 sqrt{5} – 5 sqrt{3})
= (sqrt{3} + 5sqrt{5})