A second maths puzzle!
$$\begin{align}0+0&=0\\1+1&=1\\2+2&=2\\12.2+6&=20\\12.3+6&=21\\9+(-3.2)&=-10\\7+(-1.1)&=-3\\0.95+(-0.95)&=-1\\e^\pi+(-\pi)&=\quad?\end{align}$$
Can you find the value of the question mark?
HINT 1:
GIF
HINT 2:
SQRT
HINT 3:
X
HINT 4:
ANS = ☐
Not very simple this time I suppose :)
The rule is
$a$ + $b := \lfloor \sqrt{a} * b \rfloor $
And so the answer is
$e^\pi$ + $(-\pi) := \lfloor \sqrt{e^\pi} * (-\pi) \rfloor = \lfloor -15.11256\ldots \rfloor = -16$
Examples
$12.2 + 6$
$\lfloor \sqrt{12.2} * 6 \rfloor = \lfloor 3.4928\ldots * 6 \rfloor = \lfloor 20.957\ldots \rfloor = 20$
$12.3 + 6$
$\lfloor \sqrt{12.3} * 6 \rfloor = \lfloor 3.5071\ldots * 6 \rfloor = \lfloor 21.042\ldots \rfloor = 21$
$7 + (-1.1)$
$\lfloor \sqrt{7} * (-1.1) \rfloor = \lfloor 2.6457\ldots * (-1.1) \rfloor = \lfloor -2.9103\ldots \rfloor = -3$
Hints
Hints 2,3 and 4 pretty much spell out the procedure. Hint 1 is the acronym GIF which, in this particular case, stands for Greatest Integer Function. I have used the floor function notation which is equivalent.
