A positive number exceeds its square root by 132. Find the number given that it is also a multiple of 12.
Show answer & explanation
Correct answer: C
Explanation
Let the number be x.
x = √x + 132
Let √x = y.
y² = y + 132
y² − y − 132 = 0
(y − 12)(y + 11) = 0
y = 12
x = 12² = 144