Simplify (frac{sqrt{5}(sqrt{147} – sqrt{12}}{sqrt{15}})
-
A.
5 -
B.
(frac{1}{5}) -
C.
(frac{1}{9}) -
D.
9
Correct Answer: Option A
Explanation
(frac{sqrt{5}(sqrt{147} – sqrt{12}}{sqrt{15}})
(frac{sqrt{5}(sqrt{49 times 3} – sqrt{4 times 3}}{sqrt{5 times 3}})
(frac{sqrt{5}(7sqrt{3} – 2sqrt{3}}{sqrt{5} times sqrt{3}})
(frac{sqrt{3} (7 – 2}{sqrt{3}})
= 5
There is an explanation video available below.