We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

GRE Subject Test: Math : Operations on Complex Numbers

Study concepts, example questions & explanations for GRE Subject Test: Math

Create An Account

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #92 : Classifying Algebraic Functions

$\sqrt{-70}\cdot -\sqrt{-50}$

Possible Answers:

$10\sqrt{35}$

$10\sqrt{30}$

$-5\sqrt{5}$

$5\sqrt{20}$

$5\sqrt{10}$

Correct answer:

$10\sqrt{35}$

Explanation:

$\sqrt{-70}\cdot -\sqrt{-50}$

Take out i (the square root of -1) from both radicals, simplify, and then multiply. You are not allowed to first multiply the radicals and then simplify because the roots are negative.

$i\sqrt{70}\cdot -i\sqrt{50}$

$i\sqrt{70}\cdot -i\sqrt{25\cdot 2}$

$i\sqrt{70}\cdot -5i\sqrt{2}$

$-5i^{2}\sqrt{140}$

$-5(-1)\sqrt{140}$

$5\sqrt{140}$

$5\sqrt{4\cdot 35}$

$10\sqrt{35}$

Report an Error

Example Question #34 : Imaginary Numbers & Complex Functions

$\sqrt{-225}\cdot \sqrt{-289}$

Possible Answers:

255i

$15i\sqrt{17}$

$-15\sqrt{17}$

25i

Correct answer:

Explanation:

$\sqrt{-225}\cdot \sqrt{-289}$

Take out i (the square root of -1) from both radicals, simplify, and then multiply. You are not allowed to first multiply the radicals and then simplify because the roots are negative.

$i\sqrt{225}\cdot i\sqrt{289}$

$15i\cdot 17i$

$255i^{2}$

255(-1)

Report an Error

Example Question #35 : Imaginary Numbers & Complex Functions

$\sqrt{-15}\cdot \sqrt{-33}$

Possible Answers:

$-i\sqrt{495}$

$-3\sqrt{55}$

$i\sqrt{495}$

$-\sqrt{495}$

$\sqrt{495}$

Correct answer:

$-3\sqrt{55}$

Explanation:

$\sqrt{-15}\cdot \sqrt{-33}$

Take out i (the square root of -1) from both radicals and then multiply. You are not allowed to first multiply the radicals and then simplify because the roots are negative.

$i\sqrt{15}\cdot i\sqrt{33}$

$i^{2}\sqrt{495}$

$(-1)\sqrt{495}$

It might be difficult to tell that this simplifies but you should always check if the perfect squares (4, 9, 16, etc) divide into this number. 9 does divide into 495 so this simplifies further.

$-\sqrt{9\cdot 55}$

$-3\sqrt{55}$

Report an Error

Example Question #36 : Imaginary Numbers & Complex Functions

$-\sqrt{121}\cdot \sqrt{-12}$

Possible Answers:

$-44i\sqrt{3}$

$11i\sqrt{12}$

$-22i\sqrt{3}$

$44i\sqrt{3}$

$-44\sqrt{3}$

Correct answer:

$-22i\sqrt{3}$

Explanation:

$-\sqrt{121}\cdot \sqrt{-12}$

Take out i (the square root of -1) from the radical, simplify each radical, then multiply.

$-\sqrt{121}\cdot i\sqrt{12}$

$-11\cdot i\sqrt{4\cdot 3}$

$-11\cdot 2i\sqrt{3}$

$-22i\sqrt{3}$

Report an Error

View Tutors

Danielle
Certified Tutor

Penn State University, Bachelor of Science, Civil Engineering.

View Tutors

Timothy
Certified Tutor

University of Michigan-Dearborn, Bachelor of Science, Applied Mathematics.

View Tutors

Evgenii
Certified Tutor

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

English Tutors in Boston, English Tutors in San Francisco-Bay Area, Algebra Tutors in Miami, ACT Tutors in Seattle, French Tutors in Houston, Physics Tutors in San Francisco-Bay Area, Biology Tutors in Chicago, Spanish Tutors in San Francisco-Bay Area, ACT Tutors in Chicago, GRE Tutors in Seattle

Popular Courses & Classes

Spanish Courses & Classes in Los Angeles, ACT Courses & Classes in Seattle, SSAT Courses & Classes in Seattle, ISEE Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Los Angeles, ACT Courses & Classes in Washington DC, GMAT Courses & Classes in Houston, Spanish Courses & Classes in New York City, Spanish Courses & Classes in Houston, Spanish Courses & Classes in Dallas Fort Worth

Popular Test Prep

GRE Test Prep in Denver, ISEE Test Prep in Boston, GRE Test Prep in Chicago, SAT Test Prep in Atlanta, ISEE Test Prep in Los Angeles, ISEE Test Prep in Denver, LSAT Test Prep in Los Angeles, GMAT Test Prep in Houston, MCAT Test Prep in Washington DC, ISEE Test Prep in Miami

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

GRE Subject Test: Math : Operations on Complex Numbers

Study concepts, example questions & explanations for GRE Subject Test: Math

All GRE Subject Test: Math Resources

Example Questions

Example Question #92 : Classifying Algebraic Functions

Example Question #34 : Imaginary Numbers & Complex Functions

Example Question #35 : Imaginary Numbers & Complex Functions

Example Question #36 : Imaginary Numbers & Complex Functions

All GRE Subject Test: Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: