Question

Find the additive inverse of $\sqrt{5}.$

Answer 1

We know that the additive inverse of a number $x$ is $-x$, which when added to $x$ yields the additive identity $0$ that is

$x+(-x)=x-x=0$

Now, since

$\sqrt{5}+(-\sqrt{5})=0$

Hence, the additive inverse of $\sqrt{5}$ is $-\sqrt{5}$.