Class 8 Exam > Class 8 Videos > Finding Square Root By Long Division Method: Part 2
Finding Square Root By Long Division Method: Part 2 Video Lecture - Class 8
FAQs on Finding Square Root By Long Division Method: Part 2 Video Lecture - Class 8
| 1. How do you find the square root using the long division method? |  |
Ans. To find the square root using the long division method, follow these steps:
1. Group the digits in pairs, starting from the unit digit, and find the largest number whose square is less than or equal to the first pair.
2. Write this number as the divisor and also as the quotient.
3. Divide the first pair by the divisor and write the remainder below the pair.
4. Bring down the next pair of digits and add it to the remainder.
5. Double the quotient and find the largest digit to fill in the blank, which, when multiplied with the new divisor, gives a product less than or equal to the dividend.
6. Repeat steps 3 to 5 until all the pairs of digits have been used.
7. The final quotient obtained is the square root.
| 2. Can we find the square root of a negative number using the long division method? | |
Ans. No, the long division method is not applicable for finding the square root of a negative number. The square root of a negative number is called an imaginary number and is represented by the symbol "i". The long division method is used to find the square root of positive real numbers.
| 3. Is the long division method the only way to find the square root of a number? | |
Ans. No, the long division method is one of the methods to find the square root of a number. There are other methods such as the prime factorization method, the estimation method, and the use of a calculator or computer program. The choice of method depends on the complexity of the number and the available resources.
| 4. Can the long division method be used to find the square root of a decimal number? | |
Ans. Yes, the long division method can be used to find the square root of a decimal number. In this case, the decimal digits are grouped in pairs, just like the whole number digits. The process of long division is then applied to find the square root of the decimal number.
| 5. What is the significance of finding square roots using the long division method? | |
Ans. Finding square roots using the long division method is significant because it allows us to calculate the exact square root of a number without the use of a calculator. This method provides a step-by-step procedure to find the square root, which can be helpful in various mathematical and scientific calculations. It also helps in understanding the relationship between numbers and their square roots.
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