what is the positive square root of 1?

Explanation:

Step1: Recall square - root definition

The square root of a number $x$ is a number $y$ such that $y^2=x$. For $x = 1$, we need to solve the equation $y^2=1$.

Step2: Solve the equation

The solutions of the equation $y^2 = 1$ are $y = 1$ and $y=-1$ since $1\times1 = 1$ and $(-1)\times(-1)=1$.

Step3: Select the positive root

We are looking for the positive square - root. Among $1$ and $-1$, the positive one is $1$.

Answer:

$1$