If ( a - 18 )2 + ( b - 12 )² + ( c - 6 )2 = 0, then find the value of ( a + b + c )1/2.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. ±6.
( a - 18 )2 + ( b - 12 )² + ( c - 6 )2 = 0
Since the sum of 3 positives = 0,
a - 18 = 0 ⇒ a = 18
b - 12 = 0 ⇒ b = 12
c - 6 = 0 ⇒ c = 6
(a + b + c)1/2 = (18 + 12 + 6)1/2 = (36)1/2 = ±6
Hence, the value of the given expression is ±6.