Pf exam: 050294rr – radicals and rational exponents

Exam: 050294RR – Radicals and Rational Exponents

1. Simplify  by rationalizing the denominator.


2. What are the mean and standard deviation of the data – 6, 12, 2, – 4, 1, 6, 0, 3?

A. The mean is  and the standard deviation is approximately 5.6252.

B. The mean is  and the standard deviation is approximately 5.6252.

C. The mean is  and the standard deviation is 5.

D. The mean is 4.86 and the standard deviation is 5.63.


3. Simplify  assuming the variables represent non-negative numbers.

4. Which of these radical expressions simplifies to x?



5. What best describes the triangle whose corners are located at the points (1, 1), (2, 2), and (0, 16)?

A. It has area 22 square units.

B. It is isosceles.

C. None of the above.

D. It is a right triangle.


6. Which of the following best describes imaginary numbers?

A. They are the complex numbers.

B. They consist of two values, the principal imaginary number i and its negative –i.

C. They are the values of expressions of the form  for various real numbers a, as long as a ≠ 0.

D. They are not numbers, but are useful in solving equations.


7. Expand  and simplify. Assume y = 0.


8. Two children in nearby houses attempt to use walkie-talkies to communicate. The walkie-talkies reach

one quarter of a mile (1320 feet). From one child’s house to the other, the walk along the city sidewalks is

as follows: Proceed 450 feet from the first house to the nearest corner, turn right 90° and proceed another

1050 feet. Are the children’s houses within the 1320-foot range of one another? Choose the best answer.

A. Yes, as the distance formula indicates.

B. No, but if the turn were to the left instead, they would be within range.

C. Yes, because city blocks are much smaller than one quarter of a mile.

D. No, because the distance is greater than 1320 feet.


9. Simplify .


10. Rationalize the denominator of .


11. Simplify (6 – i)(2 + i).

A. 13 – 8i

B. 13 + 4i

C. 11 + 8i

D. 11 + 4i


12. Compute the value of .


13. Rationalize the denominator of  assuming x = 0 and y = 0.


14. Simplify i

A. 1

B. –1

C. –i

D. i




15. Which of these expressions is in simplified form?



16. Expand  and simplify. Assume c = 0 and d = 0.


17. Solve  for x.


18. If the hypotenuse of a right triangle is 6m and one side is 4m, what is the length of the other side?


19. Solve  for x.

A. x = 2

B. The two solutions for are complex numbers.

C. x = 2 or x = 8

D. x = 4 or x = –4


20. Simplify .


21. Solve  for x.


22. To solve  for x, begin with which of these steps?

A. Isolate one radical expression.

B. Combine the two like radicals, then square both sides.

C. Square both sides of the equation.

D. Eliminate the negative in the second radical expression.


23. Simplify .


24. Which of these points is 5 units away from the point (6, –1)?


25. Combine like radicals in .

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with Australia Assessments
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Film & Theater studies
Acquire Grammarly Premium and ensure that your papers are thoroughly checked.
Customer 462759, March 28th, 2022
Thank you for following instructions
Customer 463957, April 6th, 2023
English 101
Thank you!
Customer 454351, May 9th, 2020
Good job
Customer 456821, November 28th, 2022
Super professional and highly qualified. Excellent customer service.
Customer 462485, May 29th, 2022
Good job
Customer 463647, February 28th, 2023
Thank you
Customer 453993, March 21st, 2020
Customer 462635, June 14th, 2022
Always confirm page length (word count) before submitting.
Customer 462809, April 6th, 2022
MGMT 221 Introduction to Management Information System
Thank you!
Customer 457731, February 2nd, 2022
This week's order was phenomenally written and I did not have to request any revisions! Thank you to the writer for following all instructions as written and writing a phenomenal discussion paper.
Customer 452455, February 3rd, 2023
English 101
Good job.
Customer 462537, April 4th, 2022
Customer reviews in total
Current satisfaction rate
3 pages
Average paper length
Customers referred by a friend
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat