How To Find Out Square Root By Long Division Method

Square root by long division method: Any number tin be expressed as a product of prime numbers. This method of representation of a number in terms of the product of prime numbers is termed equally the prime factorization method. It is the easiest method known for the manual adding of the square root of a number. But this method becomes ho-hum and slow when the number involved is large. Therefore, to find the square root of large numbers nosotros use the long sectionalisation method.

Also, to detect the square roots of imperfect squares such as 2,iii,five,6,eight,etc., weca northward apply a long division method avoiding the use of calculators. As nosotros know that sectionalisation method is used to find the square root of a number, prime factors of a given number, lcm and hcf of given numbers. In this article, yous will learn how to solve square root problems using a division method.

The sectionalisation method of square root is a very familiar and easy method bachelor to get the accurate roots of numbers. In this method, we can see five major steps such as divide , multiply, decrease, bring down and repeat.

Square root of a number by long division method

Let us empathize the long division method with the assist of an example.

Taking 484 as the number whose square root is to be evaluated. Place a bar over the pair of numbers starting from the unit of measurement place or Correct-hand side of the number. In instance, if we have the full number of digits as odd number, the leftmost digit volition likewise have a bar, \( \overline{4}\)\( \overline{8 iv} \).
Have 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. Carve up and write the quotient. Here the quotient is 2 and the residual is 0.
Next, we and then bring down the number, which is under the bar, to the right side of the remainder. Here, in this instance, we bring downwards 84. Now, 84 is our new dividend.
Now double the value of the quotient and enter it with blank space on the correct side.
Next, we have to select the largest digit for the unit of measurement place of the divisor (4_) such that the new number, when multiplied past the new digit at unit's place, is equal to or less than the dividend (84).

In this case, 42 × 2 = 84. So the new digit is two.

long division method

The residual is 0, and we have no number left for segmentation, therefore,

\( \sqrt{484} \) = 22

More Square Roots

Check here to find the foursquare root of more numbers such as 2,3,5,7,8, etc. using a long partitioning method.

Square Root Of ii
Foursquare Root Of 3
Square Root Of 5
Square Root Of 6
Square Root of 7
Square Root Of eight
Square Root of 10
Square Root of eleven
Square Root Of 12

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Oft Asked Questions – FAQs

How exercise you dissever step by step?

Segmentation method can exist explained in steps using four operations namely, divide, multiply, subtract and bring down.
Footstep 1: Divide the given number by divisor by identifying the suitable integer.
Step 2: Multiply the divisor and integer (quotient) to get the number to exist subtracted from the dividend.
Stride iii: Decrease the number from dividend.
Step 4: Bring down the remainder and another digit (if any) from the dividend.
Step 5: Continue the above process till the balance is 0 or less than the divisor.

What are the three means to divide?

We can divide the numbers in three ways using a box, sign and bar. Nevertheless, the consequence in all iii ways volition be the same. These can be expressed as:
Divisor) Dividend ( caliber
Dividend ÷ Divisor = caliber
Dividend/Divisor = quotient

How do you divide correctly?

We can divide the given numbers correctly with the help of multiplication tables. As nosotros can get the right quotients when we know the multiples of divisors.