Question

Evaluate each expression

$-\sqrt{25}$

Short answer

Expression $-\sqrt{25}$ results into $-5$

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 25

Since,$5^2=25$

So, a whole number whose square is 25 is 5

- Simplify -25

Since, square of 5 is 25

So, square root of 25 is 5, $\sqrt{25}=5$

Multiply both sides by $-1$

$\begin{array}{c}\left(-1\right)\times \sqrt{25}=\left(-1\right)\times 5\\ -\sqrt{25}=-5\end{array}$

Thus, value of $-\sqrt{25}$ is $-5$