A three-digit number is such that the sum of the number and its square root is 132. Find the number.
Show answer & explanation
Correct answer: C
Explanation
Given:
Number + Its Square Root = 132
According to the formula:
Let √Number = x ⇒ Number = x²
x² + x = 132
x² + x − 132 = 0
(x + 12)(x − 11) = 0
x = 11 (Positive)
Number = x² = 121