Square Root By Long Division Method (With Example)

Finding Square Root Of A Number By Division Method

Square root by long division method: Any number can be expressed as a merchandise of flower numbers. This method acting of representation of a number in terms of the product of prime numbers is termed as the prime factorization method. It is the easiest method acting known for the manual calculation of the square root of a number. But this method acting becomes long-winded and boring when the number involved is large. therefore, to find the square ancestor of large numbers we use the long division method acting .
besides, to find the hearty roots of imperfect squares such as 2,3,5,6,8, etc., we can use a long division method avoiding the function of calculators. As we know that division method is used to find the square root of a number, prime factors of a given numeral, lowest common multiple and hcf of given numbers. In this article, you will learn how to solve feather root problems using a division method .
The division method of square root is a identical familiar and easy method available to get the accurate roots of numbers. In this method acting, we can see 5 major steps such as divide, multiply, subtract, bring down and repeat.

Square root of a number by long division method

Let us understand the long division method with the help of an example .

  1. Taking 484 as the number whose square root is to be evaluated. Place a bar over the pair of numbers starting from the unit place or Right-hand side of the number. In case, if we have the total number of digits as odd number, the leftmost digit will also have a bar, \ ( \begin { array } { l } \overline { 4 } \end { array } \ ) \ ( \begin { align } { fifty } \overline { 8 4 } \end { array } \ )
  2. Take the largest number as the divisor whose square is less than or equal to the number on the extreme left of the number. The digit on the extreme left is the dividend. Divide and write the quotient. Here the quotient is 2 and the remainder is 0.long division method
  3. Next, we then bring down the number, which is under the bar, to the right side of the remainder. Here, in this case, we bring down 84. Now, 84 is our new dividend.long division method
  4. Now double the value of the quotient and enter it with blank space on the right side.
    long division method
  5. Next, we have to select the largest digit for the unit place of the divisor (4_) such that the new number, when multiplied by the new digit at unit’s place, is equal to or less than the dividend (84).

In this shell, 42 × 2 = 84. so the raw finger is 2 .
long division method

  1. The remainder is 0, and we have no number left for division, therefore,

\(\begin{array}{l} \sqrt{484} \end{array} \)

= 22

More Square Roots

check here to find the square root of more numbers such as 2,3,5,7,8, etc. using a long division method acting .
To learn more about early topics download BYJU ’ S – The Learning App and watch interactional videos. besides, take free tests to commit for exams.

frequently Asked Questions – FAQs

How do you divide step by step?

Division method can be explained in steps using four operations namely, separate, multiply, subtract and bring down.
tone 1 : Divide the given number by divisor by identifying the suitable integer.
step 2 : Multiply the divisor and integer ( quotient ) to get the total to be subtracted from the dividend.
step 3 : Subtract the number from dividend.
step 4 : Bring down the remainder and another digit ( if any ) from the dividend.
step 5 : Continue the above action till the end is 0 or less than the divisor .

What are the three ways to divide?

We can divide the numbers in three ways using a box, sign and browning automatic rifle. however, the consequence in all three ways will be the same. These can be expressed as :
Divisor ) Dividend ( quotient
Dividend ÷ Divisor = quotient
Dividend/Divisor = quotient

How do you divide correctly?

We can divide the given numbers correctly with the aid of generation tables. As we can get the mighty quotients when we know the multiples of divisors.

What are the 5 steps of long division?

The five steps of hanker division are given by :
footprint 1 : Divide
Step 2 : Multiply
Step 3 : subtract
step 4 : Bring down
Step 5 : repeat

What are symbols for division?

The symbols used for division are ÷, slash ( / ) or a horizontal trace ( _ ) .

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