Question

What is the square root of zero?

Answer 1

Determine the square root of zero.

The square root of a number is the value that returns the original number when multiplied by itself.

The square root of $0$ is the number(say $x$) multiplied by itself to give the number$0$.

i.e. $x.x=0$

Here to obtain the product $0$ at least one of the operands must be$0$.

thus$x=0$

And hence,

$$\begin{gathered} 0.0=0 \\ \Rightarrow 0^2=0 \\ \Rightarrow \sqrt{0^2}=\sqrt{0} \\ \Rightarrow \sqrt{0}=0 \end{gathered}$$
Hence, the square root of zero is $0$.