Question

Use a calculator to evaluate the expression. Round the results to the nearest hundredth. $$\frac{7 \pm 3 \sqrt{2}}{-1}$$

Short answer

The final answers are -10.24 and -3.76.

Step-by-step solution

Find the square root of 2

Using a calculator, find the square root of 2. The square root of 2 is approximately 1.41.

Plug square root into the equation

Plug the value obtained into the equation. This will give two expressions: \(\frac{7 + 3*1.41}{-1}\) and \(\frac{7 - 3*1.41}{-1}\).

Evaluate the two expressions

Evaluate the expressions. The first expression equals approximately -10.24 and the second expression equals to approximately -3.76.

Round to the nearest hundredth

Round the results from the last step to the nearest hundredth. So the final answers are -10.24 and -3.76.