Factorials
Number Theory
Level
3
What is one expression that only gives you positive numbers? It cannot be an exponential or polynomial expression.
Do not use Absolute Value.
The product of x and y
The difference of x and y
The square of the square root of x plus 1
The square root of x^2
The square root of x^2 plus 1
The sum of x and y
The square of the square root of x
The quotient of x and y
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1 solution
As some people may know, the absolute value of a number is the square root of x^2. This is true because x^2 is non-negative, whether x is negative, positive, or zero. After that, the square root of that number will now reset the number back to (plus or minus) the previous number. However, if you plug in 0 to this expression, you will get 0. Because 0 is not positive, you have to add a positive number to it, the simplest being one.
Therefore, the answer is
The square root of x^2 plus 1