Question

Find the square root of decimal number by long division method:4556.25

Answer 1

4556.25×100= 455625.00
First we must change this decimal number into a whole number

Answer 2

Given:

The given decimal number = 4556.25.

To Find:

We have to find out the square root of the decimal number 4556.25 by the long division method.

Solution:

The long division method is a standard division technique that is used for dividing multi-digit numeric easily by breaking down a division problem into a series of easier steps.

• Step 1: Consider the first digit of the dividend (4556.25) from the left. A suitable integer is selected as the divisor.
• Step 2: The division operation is carried out, and the answer is written on top as the quotient.
• Step 3: The next digit of the dividend (if present) is bought down after subtracting the result from the digit.
• Step 4: The process is repeated till the remainder becomes zero.

The detailed steps of the long division of the given decimal number are as follows:

$\sqrt{4556.25} = 67.5.$

Hence, the square root of the decimal number 4556.25 by the long division method is 67.5.

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