Notice that you are comparing two negative numbers.
-sqrt(3)>-sqrt(5)
When comparing numbers, it is best to first ensure that they are as similar as possible. We are given two negativeroots.
-sqrt(3), -sqrt(5)
We know that 3 is less than 5. Therefore, sqrt(3) is less than sqrt(5).
sqrt(3) < sqrt(5)
Multiplying this expression by -1, we flip the inequality sign.
-sqrt(3) > -sqrt(5)
We can check this by evaluating the values on a calculator.
We can see that -sqrt(3) is greater than -sqrt(5).