UPSC Exam  >  UPSC Videos  >  CSAT Preparation  >  Calculating Square Root by Prime Factorization - Quantitative Aptitude

Calculating Square Root by Prime Factorization - Quantitative Aptitude Video Lecture | CSAT Preparation - UPSC

194 videos|156 docs|192 tests

FAQs on Calculating Square Root by Prime Factorization - Quantitative Aptitude Video Lecture - CSAT Preparation - UPSC

1. How can I calculate the square root of a number using prime factorization?
Ans. To calculate the square root of a number using prime factorization, you need to follow these steps: 1. Find the prime factors of the given number. 2. Group the prime factors into pairs, each pair representing the same prime factor. 3. Take one factor from each pair and multiply them. 4. The result obtained from step 3 is the square root of the given number.
2. Is prime factorization a reliable method to calculate square roots?
Ans. Yes, prime factorization is a reliable method to calculate square roots. It is based on the fundamental theorem of arithmetic, which states that every integer greater than 1 can be uniquely expressed as a product of prime numbers. By using prime factorization, we can determine the exact factors of a number and calculate its square root accurately.
3. Can prime factorization be used for all numbers to calculate their square roots?
Ans. Yes, prime factorization can be used for all numbers to calculate their square roots. However, the method becomes more complex and time-consuming for larger numbers with a large number of prime factors. In such cases, alternate methods like long division or approximation methods may be more efficient.
4. How does prime factorization help in calculating square roots?
Ans. Prime factorization helps in calculating square roots by breaking down a number into its prime factors. When we group the prime factors into pairs, each pair represents the same prime factor. Taking one factor from each pair and multiplying them gives us the square root of the given number. This method ensures that the square root obtained is the exact value.
5. Are there any limitations or drawbacks to using prime factorization for square root calculation?
Ans. One limitation of using prime factorization for square root calculation is that it can become cumbersome and time-consuming for larger numbers with a large number of prime factors. Additionally, this method may not be suitable for situations where an approximate or decimal value of the square root is required. In such cases, alternate methods like long division or using a calculator may be more practical.
194 videos|156 docs|192 tests

Up next

Explore Courses for UPSC exam

How to Prepare for UPSC

Read our guide to prepare for UPSC which is created by Toppers & the best Teachers
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!
Related Searches

Calculating Square Root by Prime Factorization - Quantitative Aptitude Video Lecture | CSAT Preparation - UPSC

,

mock tests for examination

,

practice quizzes

,

MCQs

,

Objective type Questions

,

study material

,

Viva Questions

,

video lectures

,

Important questions

,

Exam

,

Calculating Square Root by Prime Factorization - Quantitative Aptitude Video Lecture | CSAT Preparation - UPSC

,

Semester Notes

,

ppt

,

Free

,

Sample Paper

,

past year papers

,

Calculating Square Root by Prime Factorization - Quantitative Aptitude Video Lecture | CSAT Preparation - UPSC

,

Previous Year Questions with Solutions

,

Summary

,

pdf

,

shortcuts and tricks

,

Extra Questions

;