Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
2. Properties of Real Numbers
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Exercise 26 Page 15

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 negative roots. -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).