Simplify (sqrt{50} + frac{10}{sqrt{2}})
-
A.
10 -
B.
10(sqrt{2}) -
C.
20 -
D.
20(sqrt{2})
Correct Answer: Option B
Explanation
(sqrt{50} + frac{10}}{sqrt{2}} = (frac{sqrt{50}}{1} + sqrt{10}{sqrt{2}})
= (frac{sqrt{50 times 2} + 10}{sqrt{2}})
= (frac{sqrt{100} + 10}{sqrt{2}})
= (frac{10 + 10}{sqrt{2} = frac{20}{sqrt{2}})
= (frac{20}{sqrt{2}}) times frac{sqrt{2}}{sqrt{2}})
= (frac{20sqrt{2}}{2})
= 10(sqrt{2})