Q64. - Algebra 2

Question

Evaluate each expression 

$-\sqrt{25}$

Step-by-Step Solution

Answer

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

Step 1 - Meaning of a

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

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

Step 2 - Find a whole number whose square is 25

Since, $5^2=25$

So, a whole number whose square is 25 is 5 

Step 3 - 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 $-5$