Question

find the square root of 1024 by long division method

Answer 1

therefore square root of 1024=32

Answer 2

Final Answer:

The square root of 1024 by long division method is 32, where the long division method of finding the square root is shown in the attached figure.

Given:

The given number is 1024.

To Find:

The square root of 1024 by long division method.

Explanation:

Note the following important points which will help to find the square root of 1024 by long division method.

• Mark the number 1024 into two parts 10 and 24.
• Identify the number whose square is less than 10.
• As the number whose square is less than 10 is 3 as evident from $3^2=9$, write 9 below 10.
• On subtracting 9 from 10, 1 is obtained.
• Now, placing the part 24 beside 1, the number 124 is obtained.
• Identify another number such that the number has its ten's place digit 6 as $3\times2=6$, and its unit's place digit is such that the product of the number with its  unit's place digit is less than equal to 124.
• It is found that $62\times2=124$, which leaves no remainder.
• Hence, the square root of 1024 is $=32$.
• The long division method of finding the square root is shown in the attached figure.

Therefore, the required square root of 1024 by long division method is 32, and the long division method of finding the square root of 1024 is shown in the attached figure.

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