Find the value of k in the equation: (sqrt{28} + sqrt{112} – sqrt{k} = sqrt{175})
-
A.
(sqrt{28}) -
B.
7 -
C.
28 -
D.
(sqrt{7})
Correct Answer: Option B
Explanation
(sqrt{28} + sqrt{112} – sqrt{k} = sqrt{175})
(sqrt{4 times 7} + sqrt{16 times 7} – sqrt{k} = sqrt{25 times 7})
(2sqrt{7} + 4sqrt{7} – sqrt{k} = 5sqrt{7})
(6sqrt{7} – 5sqrt{7} = sqrt{k})
(sqrt{k} = sqrt{7})
(implies k = 7)
There is an explanation video available below.