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Finding Square Root By Repeated Subtraction Video Lecture | Mathematics (Maths) Class 8
FAQs on Finding Square Root By Repeated Subtraction Video Lecture - Mathematics (Maths) Class 8
| 1. What is the process of finding square root by repeated subtraction? |  |
Ans. The process of finding square root by repeated subtraction involves repeatedly subtracting consecutive odd numbers from the given number until the result becomes zero or negative. The number of times the subtraction is performed gives us the square root of the given number.
| 2. Can we find the square root of any number using repeated subtraction? | |
Ans. No, we cannot find the square root of any number using repeated subtraction. This method is only applicable for perfect square numbers, which are numbers that have integer square roots. For non-perfect square numbers, we need to use other methods such as prime factorization or long division.
| 3. How does repeated subtraction help in finding the square root? | |
Ans. Repeated subtraction helps in finding the square root by systematically subtracting consecutive odd numbers from the given number. This process is based on the fact that the square of an odd number is always the sum of consecutive odd numbers starting from 1. By subtracting these odd numbers, we can determine the square root of the given number.
| 4. What are the limitations of finding square roots by repeated subtraction? | |
Ans. Finding square roots by repeated subtraction has several limitations. Firstly, this method can only be used for perfect square numbers. Secondly, it is a time-consuming process, especially for larger numbers. Thirdly, it may not provide an accurate square root approximation, as it only gives an integer result. For more precise results, other methods like the long division method or a calculator should be used.
| 5. Are there any alternative methods for finding square roots? | |
Ans. Yes, there are alternative methods for finding square roots. Some commonly used methods include prime factorization, long division, and the use of calculators or computer programs. These methods are more efficient and accurate compared to repeated subtraction, especially for larger numbers. Additionally, there are mathematical formulas and algorithms specifically designed for finding square roots, such as the Babylonian method or Newton's method.
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