 (628)-272-0788 info@etutorworld.com
Select Page

# Square roots and Cube roots

## Square Roots

The square root of a positive number ‘n’ is that number which, when multiplied by itself, gives ‘n’.

There are two square roots for a positive number. For example, the square roots of 25 are +5 and -5. The positive square root of a number is called the principal square root.

The symbol √ is called the radical sign. The index notation is also used instead of the radical sign. For example: = +4 can be written as = +4 . Example: Find the square root of 81.

81 = 9 × 9 = 9

## Cube Roots

The cube root of a positive number ‘N’ is that number which, when multiplied by itself twice, gives ‘N’.

For example, the cube root of 8 is 2 because 2 × 2 × 2 = 8 (here 2 is being multiplied by itself twice)

The symbol for cube root is a radical sign with a small 3 on the left ∛ .

Example: Find the cube root of -125.

-125 = (-5)3 = -5 × -5 × -5 = -5

Example: Simplify: – + 4

7 × 7 × 7 = 343, so = 7

14 × 14 = 196, so = 14

so , – + 4 = 7 – 14 + 4 = 11 -14 = -3

### CHECK POINT

1. Find the square root of 169.
2. What is the cube root of 1331?
3. Simplify: + – 5
4. Value of – 5. What is the square root of 1,024?
1. 13
2. 11
3. 1
4. 12
5. 32

## eTutorWorld Understands Math Tutoring | Online Math Worksheets are Important Tools

Understanding graphs, charts, and opinion polls in a newspaper, for calculating house and car payments, and for choosing a long-distance telephone service are impossible without strong math skills …and the only way to develop strong math skills is by constant practice.

‘Practice makes a man perfect’ holds true for no other field better than for math. A middle or high school student must set aside a minimum of an hour for math every day. Other than textbooks, worksheets help you revise and understand concepts better.

Our expert tutors prepare online maths worksheets that are age and grade-appropriate. Grade-wise math worksheets for Elementary Math, Arithmetic, Pre-Algebra, Algebra, Geometry, Trigonometry, Statistics, Pre-Calculus and Calculus can be solved to improve math skills, to get ahead or to even catch up.

You may download these FREE online math worksheets in the PDF format, and then print and email us their solutions for a free evaluation and analysis by eTutorworld’smath expert tutors.

You may solve these worksheets by yourself or with your peers while studying together.

The Answer Key at the end of each worksheet allows for a self-evaluation.

## Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12, Test Prep help for Standardized tests like SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE CLASS.

No credit card required, no obligation to purchase.
Just book a free class to meet a tutor and get help on any topic you want!

## Pricing for Online Tutoring

5 sessions1 Month$139 1 session1 Month$28
10 sessions3 months$269 15 sessions3 months$399
20 sessions4 months$499 50 sessions6 months$1189
100 sessions12 months\$2249

### Arithemetic & Pre Algebra

The Number System

### Algebra

Expressions and Equations

## IN THE NEWS Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

Site by Little Red Bird

Save 10% on ALL Tutoring Packs with Code FRESH10
10
Days
10
Hours
10
Minutes
10
Seconds
Save 10% with Code FRESH10
10
Days
10
Hours
10
Minutes
10
Seconds