Since,4 can be expressed as 2*2=2 , 9 can be expressed as 3*3=3 ,all such no.s can be expressed as the product of the no. with itself. Such no.s like 1,4,9,16,25,… are known as square numbers. 2 3 Square numbers

PowerPoint Presentation:

Number Square 1*1=1 2*2=4 3*3=9 4*4=16 5*5=25 6*6=36

PowerPoint Presentation:

Perfect Squares The numbers 1,4,9,16… a re square numbers. These numbers are also called perfect squares.

PowerPoint Presentation:

Properties of square numbers. The square numbers always ends with 0,1,4,5,6,9 .so,the no.s which ends with the above numbers are square numbers.

We have:2352=2*2*2*2*3*7*7 We have:2352*3=2*2*2*2*3*3*7*7 As,3 has no pair ,2352is not perfect square. So , we will multiply 2352*3 then :

PowerPoint Presentation:

So, 2352*3=7056 √7056= 2*2*3*7=84

PowerPoint Presentation:

Division method e.g., √529 Place a bar over every pair of digits starting from the digits at one’s place. Find the largest no. whose square is less or equal to the no. under the extreme left bar. take this no. as 2 529 -4 1

PowerPoint Presentation:

t he divisor and the quotient with the no. under the extreme left bar as the dividend. Divide and get the remainder. 3. Bring down no. under the next bar to the right of the remainder . So the new dividend is 129. 4. Double the divisor and enter it with a blank on its 2 529 -4 129 2 529 -4 129 4_

PowerPoint Presentation:

w hen the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. 6. Since the remainder is o and no digits are left in the right . 5. Guess a largest possible digit to fill the blank which will also become the new 2 529 -4 129 4_

Square roots of decimals e.g., √17.64 1. To find the square root of a decimal we put bars on integral parts of the no. in usual manner. And place bars on decimal parts on every pair of digits

PowerPoint Presentation:

Beginning with the first decimal place. Proceed as usual. We get 17.64 . 2.Now proceed in similar manner. The left most bar is on 17 and 4 <17<5. take this number as the divisor and the number under the left most bar as the dividend. Divide and get the remainder. 2 2 4 17.64 -16 1

PowerPoint Presentation:

3. The remainder is1. write the number under the next bar to the right of this remainder, to get 164. 4.Double the divisor and enter it with a blank on its right. Since 64 is the decimal part so put a decimal point in the quotient . 5. We know 82*2= 164, therefore the new digit is 2. 4 17.64 -16 1 64 8_ 4. 17.64 -16 1 64 82

PowerPoint Presentation:

Divide and get the remainder. 6. Since the remainder is 0 and no bar left, therefore √17.64 = 4.2. 4.2 17.64 -16 164 -164 0 82

PowerPoint Presentation:

Made by:- Suhel Naryal 2126 8 th ‘B’

You do not have the permission to view this presentation. In order to view it, please
contact the author of the presentation.

Send to Blogs and Networks

Processing ....

Premium member

Use HTTPs

HTTPS (Hypertext Transfer Protocol Secure) is a protocol used by Web servers to transfer and display Web content securely. Most web browsers block content or generate a “mixed content” warning when users access web pages via HTTPS that contain embedded content loaded via HTTP. To prevent users from facing this, Use HTTPS option.