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Web Development : Starting from Concept, HTML, CSS, Web Site Develpment to Website Launching.

Written by: Sanjay Srivastava

B.Tech (Honours);IIT Kharagpur

PMP ; PMI USA

Class - VIII - Maths:- INDEX

1. Squares & Square Roots2. Cubes & Cube Roots

3. Exponents & Radicals

4. Profit Loss & Discount

5. Compound Interest

6. Algebraic Identities

7. Polynomials

8. Linear Equations

9. Parallel Lines

10. Types of Quadrilaterals

11. Construction of Quadrilaterals

12. Circles

13. Areas

14. Surface Areas

15. Volumes

16. Statistics

Class - VIII - Maths
## What is Prime Factorization (Page 5/10)

(Contiued from page 4 )

__Important__
(1) If in Question 7 & 8, all number are in pair and there is no number left out, then divide it or multiplied it by "1" -You may find '1' as option specially in multiple choice question.

Similarly in case of add / subtract, you may find a answer as '0'

Question Type 6 - Find the square root by prime factorization -

625 , 3600 , 1156 , 30625

Answer - 6- Do the factors in pair, like 2*2 ; 3*3 etc. and then take the one number from the pair and multiply.

(i) 625=__5*5__*__5*5 __therefore **Square Root = 5*5=25**

(ii) 3600=__2*2__*__2*2 __*__5*5__*__3*3 __therefore **Square Root = 2*2*5*3=60**

(iii) 1156=__2*2__*__17*17 __therefore **Square Root = 2*17=34**

(iv) 30625=__7*7__*__5*5 __*__5*5 __therefore **Square Root = 7*5*5=175**

Question Type - 7 - Find the smallest number with which 3528 must be multiplied so that product becomes a perfect square.

Also find the square root of perfect square.

Answer - 7- Make the factors and pair the number. The number which does not have pair is the smallest number to be multiplied.

3528=__3*3__*__2*2__*__7*7__*2

Now one '2' is not having a pair, therefore it is to be**multiplied by 2** to make it square.

The square root will be (take one number from each pair & the left out number)

3*2*7*2 =**84 ** is square root

(Cont..... to page 6 )

© funandhobby.com (* What is Prime Factorization*)

Similarly in case of add / subtract, you may find a answer as '0'

Question Type 6 - Find the square root by prime factorization -

625 , 3600 , 1156 , 30625

Answer - 6- Do the factors in pair, like 2*2 ; 3*3 etc. and then take the one number from the pair and multiply.

(i) 625=

(ii) 3600=

(iii) 1156=

(iv) 30625=

Question Type - 7 - Find the smallest number with which 3528 must be multiplied so that product becomes a perfect square.

Also find the square root of perfect square.

Answer - 7- Make the factors and pair the number. The number which does not have pair is the smallest number to be multiplied.

3528=

Now one '2' is not having a pair, therefore it is to be

The square root will be (take one number from each pair & the left out number)

3*2*7*2 =

(Cont..... to page 6 )

© funandhobby.com (