Finding Square Root By Long Division Method

# Finding Square Root By Long Division Method Video Lecture | Mathematics (Maths) Class 8

## Mathematics (Maths) Class 8

79 videos|408 docs|31 tests

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## FAQs on Finding Square Root By Long Division Method Video Lecture - Mathematics (Maths) Class 8

 1. What is the long division method for finding square roots?
Ans. The long division method is a technique used to find the square root of a number by repeatedly dividing and averaging. It involves dividing the number into groups of two digits from right to left, finding the largest possible digit as the quotient, subtracting the product of the quotient and divisor, and repeating the process until the desired level of accuracy is achieved.
 2. How do you determine the largest possible digit as the quotient in the long division method for finding square roots?
Ans. To determine the largest possible digit as the quotient, we consider the largest digit that, when multiplied by the divisor twice, is less than or equal to the dividend. This digit is chosen as the quotient in each step of the long division method.
 3. Can the long division method be used to find the square root of any number?
Ans. The long division method can be used to find the square root of any non-negative real number, including perfect squares and non-perfect squares. However, for non-perfect squares, the process may involve repeating the steps to obtain a more accurate approximation.
 4. How can I check if my answer obtained using the long division method for finding square roots is correct?
Ans. You can check the accuracy of your answer by squaring it and comparing it with the original number. If the squared value matches the original number, then your answer is correct. However, keep in mind that the long division method provides an approximation, so there may be a slight difference due to rounding errors.
 5. Are there any shortcuts or alternative methods to find square roots without using the long division method?
Ans. Yes, there are alternative methods like the prime factorization method, the estimation method, and the use of calculators or software. These methods can provide a quicker and more accurate solution for finding square roots. However, learning the long division method is still important as it helps in understanding the concept and building a strong foundation in mathematics.

## Mathematics (Maths) Class 8

79 videos|408 docs|31 tests

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