how to find the value of root 5 upto three decimal places
Answers
Hi ,
Procedure to find square root by long
division method:
* i ) after 5 , place decimal point .
* ii ) after decimal point write zeroes.
* iii ) Group ' 0 ' in pairs and put a bar over them .
* iv ) then after follow the method of find the square root of perfect square .
Square root of a perfect square by
___________________________
the long division method:
___________________
1 ) Group the digits in pairs , starting with the digit in the units palce.Each pair and the remaining digit is called a period .
2 ) Find the largest number whose square is equal to or just less than the first period. Take this number as the divisor and as the quotient.
3 ) Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. This becomes the new remainder.
4 )Now , the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend.
5 ) Repeat steps 2, 3 and 4 till the periods have been taken up.
2 l 5 . 00 00 00 00 00 l 2 . 2360
l4
l___________
42l 1 00
l 084
___________
443 l 16 00
l 13 29
_________________
4466 l 271 00
l 26796
_______________
44720 l 30400
l 00000
_____________
Therefore
Sqrt 5 = 2. 2360
= 2.236
I hope this will useful to u.