Question

Evaluate each expression

63. $-\sqrt{4}$

Short answer

Expression $-\sqrt{4}$ results into $-2$

Step-by-step solution

- Meaning of a

The symbol $\sqrt{}$ is used to denote square root of a number.

Thus $\sqrt{a}$ denotes square root of $\text{'}a\text{'}$

- Find a whole number whose square is 4

Since, $2^2=4$

So, a whole number whose square is 4 is 2

- Simplify -4

Since, square of 2 is 4

So, square root of 4 is 2, $\sqrt{4}=2$$\sqrt{4}=2$

Multiply both sides by $-1$

$\begin{array}{c}\left(-1\right)\times \sqrt{4}=\left(-1\right)\times 2\\ -\sqrt{4}=-2\end{array}$

Thus, value of $-\sqrt{4}$ is $-2$