Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : How to find the square root

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

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #301 : How To Find The Square Root

Solve:

$\sqrt{324}$

Possible Answers:

Correct answer:

Explanation:

$\sqrt{324} = 18$

because $18 \times 18 = 324$

Report an Error

Example Question #302 : Squares / Square Roots

Solve:

$-\sqrt{100}$

Possible Answers:

Correct answer:

Explanation:

$-\sqrt{100}$ indicates the negative square root of 100. .

The square root of 100 =10 because $10 \times 10 = 100.$

Because the negative sign is outside of the radical sign

$-\sqrt{100} = -10$

Report an Error

Example Question #302 : How To Find The Square Root

$Solve: \frac{\sqrt{256}- \sqrt{169}}{\sqrt{16}} =$

Possible Answers:

$\frac{4}{3}$

$\frac{1}{4}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{4}$

Explanation:

$\sqrt{256} = 16$

$\sqrt{169} =13$

$\sqrt{16} = 4$

$\frac{16-13}{4} = \frac{3}{4}$

Report an Error

Example Question #302 : Squares / Square Roots

What is the $\sqrt{10}$ rounded to the nearest hundreth?

Possible Answers:

3.91

3.75

3.16

3.63

Correct answer:

3.16

Explanation:

To find the $\sqrt{10}$ , find the two perfect squares that this is between.

$\sqrt{9}$ and the $\sqrt{16}$ would be the two perfect squares. Recall that square roots come from either two positive values multiplied together or two negative numbers are multiplied together. Thus two separate equations will need to be used to calculate the possible value of $\sqrt{10}$ .

Let's first take a look at the perfect square which surround $\sqrt{10}$ .

$\sqrt{9} = \pm3\Rightarrow(-3)(-3)=9; (3)(3)=9$

$\sqrt{16} = \pm4 \Rightarrow (-4)(-4)=16;(4)(4)=16$

In this particular case $\sqrt{10$ would be closer to the $\sqrt{9}$ then the $\sqrt{16}$ because 10 is closer to 9 thus the appropriate estimation would be,

$\sqrt{10} = 3.16$ .

Report an Error

Example Question #305 : Squares / Square Roots

Estimate $y^{2} =40$ to the nearest whole integer.

Possible Answers:

$y=\pm7$

$y=\pm6$

$y=\pm20$

$y=\pm 8$

Correct answer:

$y=\pm6$

Explanation:

$y^{2} =40$

Take the square root of both sides of the equation.

$\sqrt{y^{2}} = \sqrt{40}$

The first perfect square that is less than is 36.

The first perfect square that is greater than is 49.

$\sqrt{36} < \sqrt{40} < \sqrt{49}$

$6< \sqrt{40} < 7$

The $\sqrt{40}$ ls between and

is closer to than .

For the equation there are 2 solutions, because is positive: $y=\sqrt{a}$ , which is positive, and $y = -\sqrt{a}$ , which is negative. Together, these two roots are denoted $\pm\sqrt{a}$ .

$6 \times 6 = 36$

$-6 \times -6 = 36$

y = 6 or y = -6

$y=\pm6$ is the correct answer.

Report an Error

Example Question #306 : Squares / Square Roots

$-\sqrt{\frac{16}{49}}$

Possible Answers:

$-\frac{7}{4}$

$\pm\frac{4}{7}$

$-\frac{4}{7}$

$\frac{4}{7}$

Correct answer:

$-\frac{4}{7}$

Explanation:

$-\sqrt{\frac{16}{49}}$

$\sqrt{16} = 4$ because $4\times4 =16$ .

$\sqrt{49} = 7$ because $7 \times 7 = 49.$

The negative sign outside the radical sign indicates that you are taking the negative square root of what is inside the radical sign, or the radicand.

$-\frac{4}{7}$ is the correct answer.

Report an Error

Example Question #303 : How To Find The Square Root

If the area of a pasture is $144\textup{ ft}^{2}$ , and the pasture is a square, what is the length of one side of the pasture?

Possible Answers:

$13\textup{ ft}$

$14\textup{ ft}$

$12\textup{ ft}$

$11\textup{ ft}$

Correct answer:

$12\textup{ ft}$

Explanation:

The area of a square is the side length squared. To find the side length of the square, find the

$\sqrt{144}$ or what number times itself gives 144 as the product.

$\sqrt{144} = 12$ because $12 \times 12 = 144$

The correct answer is ft.

Report an Error

Example Question #304 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve the equation:

$b^{2} =\frac{9}{441}$

Possible Answers:

$b = \pm \frac{3}{20}$

$b = \pm\frac{1}{7}$

$b = \pm7$

$b =\pm \frac{1}{21}$

Correct answer:

$b = \pm\frac{1}{7}$

Explanation:

$b^{2} =\frac{9}{441}$

Take the square root of both sides of the equation:

$\sqrt{b^{2}} =\sqrt{\frac{9}{441}}$

For the equation $\sqrt{b^{2}} =\sqrt{\frac{9}{441}}$ there are 2 solutions, because it is positive: $y=\sqrt{a}$ , which is positive, and $y = -\sqrt{a}$ , which is negative. Together, these two roots are denoted $\pm\sqrt{a}$ .

$3\times3 = 9$

$-3 \times -3 = 9$

$-21\times-21 =441$

$21\times21 = 441$

$b = \frac{3}{21} or -\frac{3}{21}$

$b=\pm\frac{1}{7}$

Report an Error

Example Question #302 : How To Find The Square Root

Determine the value of the square root: $\sqrt{529}$

Possible Answers:

Correct answer:

Explanation:

The square root of a number determines one number that multiplies by itself to get the number inside the square root.

Notice that the number in the radical ends with a 9. This means the ones digit of the final answer must be three.

The answers and cannot be true since:

20^2 = 400

30^2 =900

Those values are far too small to be the correct answer.

The only possible answer is .

The answer is:

Report an Error

View Tutors

Joseph
Certified Tutor

Bank Street College of Education , Master's/Graduate, Early Childhood and Childhood General Education.

View Tutors

Yongmao
Certified Tutor

Nankai University, Bachelor of Science, Chemistry. Washington University in St Louis, Doctor of Philosophy, Organic Chemistry.

View Tutors

Bagher
Certified Tutor

San Jose State University, Master's/Graduate, Physics.

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in New York City, GRE Tutors in Philadelphia, SSAT Tutors in Seattle, French Tutors in Miami, GRE Tutors in New York City, Math Tutors in San Francisco-Bay Area, ACT Tutors in Philadelphia, English Tutors in Denver, Biology Tutors in New York City, Statistics Tutors in Miami

Popular Courses & Classes

LSAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Seattle, ACT Courses & Classes in Chicago, ACT Courses & Classes in Boston, ACT Courses & Classes in Philadelphia, ISEE Courses & Classes in Washington DC, GRE Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in San Diego, LSAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Chicago

Popular Test Prep

GMAT Test Prep in Chicago, ACT Test Prep in Philadelphia, GMAT Test Prep in Denver, ISEE Test Prep in San Diego, ISEE Test Prep in San Francisco-Bay Area, SAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Los Angeles, ACT Test Prep in Chicago, ACT Test Prep in Boston, LSAT 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

ISEE Middle Level Math : How to find the square root

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #301 : How To Find The Square Root

Example Question #302 : Squares / Square Roots

Example Question #302 : How To Find The Square Root

Example Question #302 : Squares / Square Roots

Example Question #305 : Squares / Square Roots

Example Question #306 : Squares / Square Roots

Example Question #303 : How To Find The Square Root

Example Question #304 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #302 : How To Find The Square Root

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: