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Calculating Square Root by Division Method - Quantitative Aptitude Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Calculating Square Root by Division Method - Quantitative Aptitude Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is the Division Method for calculating square roots? |  |
Ans. The Division Method is a technique used to calculate square roots by repeatedly dividing the number and adding the quotient to the divisor. It is a step-by-step approach that helps in finding an approximation of the square root.
| 2. How does the Division Method work? | |
Ans. The Division Method involves the following steps:
1. Start by grouping the digits of the given number into pairs, starting from the decimal point (if any) and moving towards the left.
2. Find the largest number whose square is less than or equal to the first pair of digits. This will be the first digit of the square root.
3. Divide the first pair of digits by the chosen digit, and write the quotient below the dividend.
4. Bring down the next pair of digits and double the original divisor. Add a digit to the quotient so that when multiplied by the new divisor, the product is less than or equal to the dividend.
5. Repeat the process until all the pairs of digits have been used.
6. The final quotient obtained is the approximate square root of the given number.
| 3. Can the Division Method provide an exact square root? | |
Ans. No, the Division Method provides an approximate square root. It is a method used to find an approximation of the square root, and the result may not be exactly equal to the actual square root of the number.
| 4. Is the Division Method applicable for all numbers? | |
Ans. The Division Method can be used to calculate the square root of any positive number, including integers and decimal numbers. However, the method becomes more complex when dealing with larger numbers or numbers with many decimal places.
| 5. Are there any limitations or drawbacks of using the Division Method? | |
Ans. Yes, there are a few limitations of using the Division Method:
1. It provides an approximation of the square root, which may not be accurate.
2. It can be time-consuming, especially for larger numbers.
3. The method requires manual calculations, which can be prone to errors.
4. It may not work well for numbers with many decimal places, as the process becomes more complex.
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