If a number is subtracted from the square of its one half,

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If a number is subtracted from the square of its one half, the result is 48. The square root of the number is ?

Let the number be N.
Then (N/2)² - N = 48
⇒ N²/4 - N = 48
⇒N² - 4N-192= 0
⇒ (N-16) (N+12) = 0
⇒ N = 16
∴ The square root of the number is 4.