Find the square root 4.84 by division method .
Answers
Answer:
Step-by-step explanation:
To find the square by long division method we follow the following steps:
(i) First we make the pair of the digits starting from the digit's at one's place.
For making the pair place a bar over every pair of digits.
If the number of digits in it odd, then the left-most single digit will have a bar.
(ii) Find the largest number whose square is less than or equal to the number under the extreme left bar.
Take this number as the divisor and the number under the extreme left bar as dividend.
Divide and get the remainder.
(iii) To the right of the remainder place the number that is under the next bar.
(iv) Now double the divisor and enter it with blank on its right.
(v) Think a largest possible digit to fill the blank which will also become the new digit in the quotient such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend.
(vi) Repeat these steps till get the remainder 0 and no digits are left in the given number.
Example:
Find the square root of 529 by long division method.
SQUARE ROOTS OF DECIMAL NUMBERS BY DIVISION METHOD - LAW
concept
To find the square root of decimal numbers by long division method we follow the following steps:
(i) First we make the pair of the digits of the integral part and decimal part by placing the bar of each pair.
(ii) Find the largest number whose square is less than or equal to the number under the extreme left bar.
Take this number as the divisor and the number under the extreme left bar as dividend.
Divide and get the remainder.
(iii) To the right of the remainder place the number that is under the next bar.
(iv) Now double the divisor and enter it with blank on its right.
(v) Think a largest possible digit to fill the blank which will also become the new digit in the quotient such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend.
(vi) Repeat these steps till get the remainder 0 and no digits are left in the given number.
Example:
Find the square root of 12.25
FINDING SQUARE ROOT OF A NON PERFECT SQUARE NUMBER BY DIVISION - EXAMPLE
concept
Let's see how to find square root of a non perfect square number by division
For eg:- Let's find square root of 529 using division
1. Place a bar over every pair of digits starting from right. If the number of digits is odd, then the left-most single digit too will have a bar. i.e we have
5
29
2. Find the largest number whose square is less than or equal to the number under the left most bar.
3. Take this number as the divisor and the quotient, with the number under left-most bar as dividend(5).
4. Divide the number and get the remainder, 1 in this case.
5. Bring down the number under the next bar to the right of remainder. And the new dividend is 129.
6. Double the quotient and enter it with a blank on its right.
7. Find the largest digit to fill the blank which also becomes new digit in the quotient, such that the multiplication of new divisor and new quotient is less than or equal to the divisor.
8. Since, 43×3=129. We choose the new digit as 3. Get the remainder.
9. Since, the remainder is 0. We get
529
=23.
Answer:its 2.2...
Step-by-step explanation:
2.2 x 2.2 = 4.84 bc 22 x 22 = 484
2.2 x 2.2 has 2 numbers behind the decimals so we do the same with the original number 484
yw :)