Radical Equations Unit 6 Problems

Radical Equations

Unit 6 Problems

Application problems including radical equations.

Use radical equations to solve the following problems. Round all answers to the nearest tenth.

1. Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 378 square feet. How long can a side of his patio be?


A square with sides a has an area given by;

Area = a2


a2 = 378

a = √378

a = 19.4 feet.

2. A hang glider dropped his cell phone from a height of 450 feet. How many seconds did it take for the cell phone to reach the ground?


Assuming that the drag of air is negligible, the cell phone was in free fall for the entire 450 feet to the ground.

Using the relationship below,

y = u.t+.a.t2


450 = 0+..t2 =

  = 450

t2 = √28.125s2

t = 5.3 s 

3. An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 84 feet. What was the speed of the vehicle before the brakes were applied?


Let the speed of the car before skidding be s:

s = √24d

s = √(24x84)

s = √2016

s = 44.9 miles per hour.

4. How far from the base of the house do you need to place a 13-foot ladder so that it exactly reaches the top of a 10- foot tall wall?


Let the base of the 13-foot ladder be placed x ft away from the wall so that it exactly reaches 12-foot tall wall as shown below-:

Using Pythagoras theorem,

x2 = 132-102

x2 = 169-100

x = √69

x = 8.3-foot away from the wall.

5. A baseball diamond is a square that is 90 feet on each side. What is the distance a catcher has to throw the ball from home to second base?


The baseball is a square and therefore, the throw from home plate to second base makes a hypotenuse side in a right angled triangle as shown below-:

Using Pythagoras theorem,

c2 = 902+902

c = √ (902+902)

c = 90√2

c = 127.3 Feet.


Upload Document Document Unser Evaluion Get Money Into Your Wallet

Cite This work.

To export a reference to this article please select a referencing stye below.

Assignment Hippo (2022) . Retrive from https://assignmenthippo.com/sample-assignment/radical-equations-unit-6-problems

"." Assignment Hippo ,2022, https://assignmenthippo.com/sample-assignment/radical-equations-unit-6-problems

Assignment Hippo (2022) . Available from: https://assignmenthippo.com/sample-assignment/radical-equations-unit-6-problems

[Accessed 15/08/2022].

Assignment Hippo . ''(Assignment Hippo,2022) https://assignmenthippo.com/sample-assignment/radical-equations-unit-6-problems accessed 15/08/2022.

Want latest solution of this assignment

Want to order fresh copy of the Sample Template Answers? online or do you need the old solutions for Sample Template, contact our customer support or talk to us to get the answers of it.

Submit Your Assignment Here

AssignmentHippo Features

On Time Delivery

Our motto is deliver assignment on Time. Our Expert writers deliver quality assignments to the students.

Plagiarism Free Work

Get reliable and unique assignments by using our 100% plagiarism-free.

24 X 7 Live Help

Get connected 24*7 with our Live Chat support executives to receive instant solutions for your assignment.

Services For All Subjects

Get Help with all the subjects like: Programming, Accounting, Finance, Engineering, Law and Marketing.

Best Price Guarantee

Get premium service at a pocket-friendly rate at AssignmentHippo


  • Assignment Writing Guide
  • Essay Writing Guide
  • Dissertation Writing Guide
  • Research Paper Writing Guide


  • Accounts
  • Computer Science
  • Economics
  • Engineering

Client Review

I was struggling so hard to complete my marketing assignment on brand development when I decided to finally reach to the experts of this portal. They certainly deliver perfect consistency and the desired format. The content prepared by the experts of this platform was simply amazing. I definitely owe my grades to them.

Tap to Chat
Get instant assignment help