Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Quantitative : How to find the square root

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

Create An Account

All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Squares / Square Roots

Give the square root of 256.

Possible Answers:

Correct answer:

Explanation:

$16\cdot16= 256$ - that is, 16 squared is 256, making 16 the square root of 256 by definition.

Report an Error

Example Question #2 : Squares / Square Roots

Which is the greater quantity?

(a) $\sqrt{425 }$

(b)

Possible Answers:

It is impossible to tell from the information given

(a) is greater

(b) is greater

(a) and (b) are equal

Correct answer:

(b) is greater

Explanation:

$21^{2} = 21 \times 21 = 441$ , so $21 = \sqrt{441}$

441 > 425 , so

$21 = \sqrt{441} > \sqrt{425}$

Report an Error

Example Question #3 : Squares / Square Roots

Which is the greater quantity?

(a) $6 \sqrt{ 7}$

(b) $7 \sqrt{6}$

Possible Answers:

It is impossible to tell from the information given

(a) and (b) are equal

(a) is greater

(b) is greater

Correct answer:

(b) is greater

Explanation:

(a) $\left (6 \sqrt{7} \right )^{2} = 6^{2}\left ( \sqrt{7} \right ) ^{2} = 36 \cdot 7 = 252$ , so $6 \sqrt{7} = \sqrt{ 252 }$

(b) $\left (7 \sqrt{6} \right )^{2} = 7^{2}\left ( \sqrt{6} \right ) ^{2} = 49 \cdot 6 = 294$ , so $7\sqrt{6} = \sqrt{ 294 }$

294 > 252 ,

$\sqrt{294 }> \sqrt{252}$ ,

and

$7\sqrt{6} > 6 \sqrt{7}$

Report an Error

Example Question #1 : How To Find The Square Root

Column A Column B

$\sqrt{100}$ $\sqrt{10.0}$

Possible Answers:

The quantities are equal.

The quantity in Column A is greater.

There is no relationship between the quantities.

The quantity in Column B is greater.

Correct answer:

The quantity in Column A is greater.

Explanation:

The square root of 100 is 10, while the square root of 10 is between the square root of 9 and 16, so about 4. Therefore, Column A has to be greater.

Report an Error

Example Question #4 : How To Find The Square Root

Which of the following is equal to $\sqrt{5^{2}+7^{2}+7}$ ?

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

$\sqrt{5^{2}+7^{2}+7}$

$=\sqrt{25 +49+7}$

$=\sqrt{81}$

Report an Error

Example Question #1 : Squares / Square Roots

Which of the following is equal to $\sqrt{11^{2}+ 6 \cdot 8}$ ?

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

$\sqrt{11^{2}+ 6 \cdot 8}$

$= \sqrt{121+ 6 \cdot 8}$

$= \sqrt{121+ 48}$

$= \sqrt{169}$

=13

Report an Error

Example Question #5 : How To Find The Square Root

Which of the following is equal to $\sqrt{2^{3}+ 6^{2}+10^{2}}$ ?

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

$\sqrt{2^{3}+ 6^{2}+10^{2}}$

$=\sqrt{8+36 +100}$

$=\sqrt{ 144}$

=12

Report an Error

Example Question #2 : How To Find The Square Root

$V^{2} = 72$ ; is positive.

Which is the greater quantity?

(a)

(b)

Possible Answers:

(A) is greater

(A) and (B) are equal

It is impossible to tell which is greater from the information given

(B) is greater

Correct answer:

(A) is greater

Explanation:

Since is positive, we can compare to 8 by comparing their squares.

$V^{2} = 72$ and $8^{2} = 8 \times 8 = 64$

$V^{2} > 8^{2}$ , so V>8 , making (A) greater.

Report an Error

Example Question #6 : How To Find The Square Root

$F^{2}= 36$

Which is the greater quantity?

(A)

(B)

Possible Answers:

It is impossible to tell which is greater from the information given

(A) and (B) are equal

(A) is greater

(B) is greater

Correct answer:

It is impossible to tell which is greater from the information given

Explanation:

If $F^{2} = 36$ , then one of two things is true - either F = 6 or F = -6 .

However, 6 > 4 and -6<4 , so it is impossibe to tell whether (A) or (B) is greater.

Report an Error

Example Question #7 : How To Find The Square Root

$Q^{2} = 49$

Which is the greater quantity?

(A)

(B)

Possible Answers:

It is impossible to tell which is greater from the information given

(B) is greater

(A) is greater

(A) and (B) are equal

Correct answer:

(A) is greater

Explanation:

If $Q^{2} = 49$ , then one of two things is true - either Q=7 or Q=- 7 . Since 7 > -8 and -7 > -8 , Q > -8 either way, so (A) is greater.

Report an Error

View Tutors

Chase
Certified Tutor

Western Governors University, Bachelor of Science, Mathematics.

View Tutors

Claire
Certified Tutor

Augustana College, Bachelor of Fine Arts, Music Teacher Education.

View Tutors

Eva
Certified Tutor

Technicka Univerzita Liberec, Bachelor of Education, Education.

All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in Washington DC, LSAT Tutors in Dallas Fort Worth, Computer Science Tutors in Los Angeles, ISEE Tutors in Houston, Algebra Tutors in Washington DC, Chemistry Tutors in Houston, ISEE Tutors in Chicago, Math Tutors in Dallas Fort Worth, Biology Tutors in Washington DC, Calculus Tutors in Phoenix

Popular Courses & Classes

MCAT Courses & Classes in Atlanta, GMAT Courses & Classes in Atlanta, SAT Courses & Classes in Seattle, MCAT Courses & Classes in Chicago, MCAT Courses & Classes in Washington DC, ACT Courses & Classes in San Diego, LSAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Miami, Spanish Courses & Classes in San Diego, ACT Courses & Classes in Atlanta

Popular Test Prep

LSAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Seattle, MCAT Test Prep in San Diego, ACT Test Prep in Miami, GMAT Test Prep in Boston, LSAT Test Prep in Philadelphia, ACT Test Prep in San Diego, SAT Test Prep in New York City, LSAT Test Prep in San Diego, GMAT Test Prep in Phoenix

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

ISEE Middle Level Quantitative : How to find the square root

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #1 : Squares / Square Roots

Example Question #2 : Squares / Square Roots

Example Question #3 : Squares / Square Roots

Example Question #1 : How To Find The Square Root

Example Question #4 : How To Find The Square Root

Example Question #1 : Squares / Square Roots

Example Question #5 : How To Find The Square Root

Example Question #2 : How To Find The Square Root

Example Question #6 : How To Find The Square Root

Example Question #7 : How To Find The Square Root

All ISEE Middle Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: