We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #33 : Multiplying And Dividing Radicals

$\sqrt{3}*\sqrt{7}$

Possible Answers:

$\sqrt{10}$

$\sqrt{37}$

$\sqrt{21}$

Correct answer:

$\sqrt{21}$

Explanation:

When multiplying radicals, we can just multiply the values inside the radicand.

$\sqrt{3}*\sqrt{7}=\sqrt{3*7}=\sqrt{21}$

Report an Error

Example Question #34 : Multiplying And Dividing Radicals

$\sqrt{3}*\sqrt{27}$

Possible Answers:

$\sqrt{30}$

$9\sqrt{3}$

$4\sqrt{3}$

Correct answer:

Explanation:

When multiplying radicals, we can just multiply the values inside the radicand.

$\sqrt{3}*\sqrt{27}=\sqrt{3*27}=\sqrt{81}=9$

Report an Error

Example Question #35 : Multiplying And Dividing Radicals

$\sqrt{5}*\sqrt{15}$

Possible Answers:

$5\sqrt{3}$

$3\sqrt{5}$

$2\sqrt{5}$

$4\sqrt{3}$

$5\sqrt{2}$

Correct answer:

$5\sqrt{3}$

Explanation:

When multiplying radicals, we can just multiply the values inside the radicand.

$\sqrt{5}*\sqrt{15}=\sqrt{5*15}=\sqrt{75}$ We can simplify this by finding a perfect square.

$\sqrt{75}=\sqrt{25}*\sqrt{3}=5\sqrt{3}$

Report an Error

Example Question #36 : Multiplying And Dividing Radicals

$\frac{{4}}{\sqrt{2}}$

Possible Answers:

$\frac{\sqrt{2}}{4}$

$4\sqrt{2}$

$\frac{\sqrt{2}}{2}$

$2\sqrt{2}$

Correct answer:

$2\sqrt{2}$

Explanation:

When dealing with radicals in the denominator, we simplify it by multiplying top and bottom by the radical.

$\frac{4}{\sqrt{2}}=\frac{4}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{4\sqrt{2}}{2}=2\sqrt{2}$

Report an Error

Example Question #235 : Radicals

$\frac{\sqrt{6}}{\sqrt{12}}$

Possible Answers:

$\frac{\sqrt{2}}{4}$

$\frac{\sqrt{3}}{2}$

$\frac{1}{2}$

$\sqrt{2}$

$\frac{\sqrt{2}}{2}$

Correct answer:

$\frac{\sqrt{2}}{2}$

Explanation:

We can simplify this fraction. We can combine the radicals into a giant radical expression.

$\frac{\sqrt{6}}{\sqrt{12}}=\sqrt{\frac{6}{12}}=\sqrt{\frac{1}{2}}$

When dealing with radicals in the denominator, we simplify it by multiplying top and bottom by the radical.

$\frac{1}{\sqrt{2}}=\frac{1}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}$

Report an Error

Example Question #1471 : Mathematical Relationships And Basic Graphs

$\sqrt[3]{4}*\sqrt[3]16{}$

Possible Answers:

$2\sqrt[3]{16}$

$4\sqrt{3}$

$2\sqrt[3]{4}$

Correct answer:

Explanation:

When multiplying radicals, we can just multiply the values inside the radicand.

$\sqrt[3]{4}*\sqrt[3]{16}=\sqrt[3]{64}$ This can be simplified to which is the cubic root of the answer.

Report an Error

Example Question #4136 : Algebra Ii

$\frac{10}{\sqrt{50}}$

Possible Answers:

$2\sqrt{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{2}}{5}$

$\sqrt{2}$

Correct answer:

$\sqrt{2}$

Explanation:

We can simplify $\sqrt{50}$ by finding a perfect square.

$\sqrt{50}=\sqrt{25}*\sqrt{2}=5\sqrt{2}$ Next we can reduce to $\frac{2}{\sqrt{2}}$ .

When dealing with radicals in the denominator, we simplify it by multiplying top and bottom by the radical.

$\frac{2}{\sqrt{2}}=\frac{2}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{2\sqrt{2}}{2}=\sqrt{2}$

Report an Error

Example Question #43 : Multiplying And Dividing Radicals

$\sqrt{16x}\cdot \sqrt{x^2w^4}$

Possible Answers:

$4xw\sqrt{x}$

$4w^2\sqrt{x}$

$4xw^2\sqrt{x}$

4xw^2

Correct answer:

$4xw^2\sqrt{x}$

Explanation:

The first step I'd recommend is to multiply everything and put it all underneath one radical: $\sqrt{16x^3w^4}$ . Then, recall that for every two of the same term, cross them out underneath the radical and put one of them outside. Attack each term separately: $\sqrt{16}=4$ , $\sqrt{x^3}=x\sqrt{x}$ , and $\sqrt{w^4}=w^2$ . Put those all together to get: $4xw^2\sqrt{x}$ .

Report an Error

Example Question #241 : Radicals

$3\sqrt{3}*\sqrt{8}$

Possible Answers:

$3\sqrt{24}$

$3\sqrt{6}$

$3\sqrt{24}$

$6\sqrt{6}$

Correct answer:

$6\sqrt{6}$

Explanation:

$3\sqrt{3}*\sqrt{8}$

Combine radicals:

$3\sqrt{24}$

Simplify the radical leftover:

$3\sqrt{6*4}$

$\mathbf{6\sqrt{6}}$

Report an Error

Example Question #4141 : Algebra Ii

Divide and simplify: $\frac{28\sqrt{24}}{7\sqrt{6}}$

Possible Answers:

$4\sqrt{6}$

None of these

Correct answer:

Explanation:

$\frac{28\sqrt{24}}{7\sqrt{6}}$

Divide outside number:

$\frac{4\sqrt{24}}{\sqrt{6}}$

Divide radicals:

$4\sqrt{4}$

Simplify radical:

$4*2=\mathbf{8}$

Report an Error

View Algebra 2 Tutors

Laura
Certified Tutor

New York University, Bachelor in Arts, French.

View Algebra 2 Tutors

Jerome
Certified Tutor

Kennesaw State University, Bachelors, Electrical Engineering Technology.

View Algebra 2 Tutors

Matthew
Certified Tutor

Bluffton University, Bachelor of Education, Mathematics. Bluffton University, Masters in Education, Education.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Seattle, Physics Tutors in Dallas Fort Worth, Reading Tutors in Chicago, Physics Tutors in Washington DC, Statistics Tutors in Miami, English Tutors in Dallas Fort Worth, Biology Tutors in Miami, Algebra Tutors in Phoenix, Reading Tutors in Phoenix, Algebra Tutors in Denver

Popular Courses & Classes

SSAT Courses & Classes in Phoenix, ACT Courses & Classes in Miami, ISEE Courses & Classes in Atlanta, GMAT Courses & Classes in Miami, MCAT Courses & Classes in Los Angeles, SAT Courses & Classes in Phoenix, ACT Courses & Classes in Los Angeles, LSAT Courses & Classes in Miami, MCAT Courses & Classes in Philadelphia, ISEE Courses & Classes in San Diego

Popular Test Prep

GRE Test Prep in New York City, SAT Test Prep in Phoenix, GMAT Test Prep in Denver, GRE Test Prep in San Francisco-Bay Area, GMAT Test Prep in Miami, SSAT Test Prep in New York City, SAT Test Prep in Boston, SAT Test Prep in Houston, LSAT Test Prep in San Diego, ISEE Test Prep in Chicago

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #33 : Multiplying And Dividing Radicals

Example Question #34 : Multiplying And Dividing Radicals

Example Question #35 : Multiplying And Dividing Radicals

Example Question #36 : Multiplying And Dividing Radicals

Example Question #235 : Radicals

Example Question #1471 : Mathematical Relationships And Basic Graphs

Example Question #4136 : Algebra Ii

Example Question #43 : Multiplying And Dividing Radicals

Example Question #241 : Radicals

Example Question #4141 : Algebra Ii

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: