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Shortcut Tricks to find Square Roots Video Lecture | CSAT Preparation - UPSC

FAQs on Shortcut Tricks to find Square Roots Video Lecture - CSAT Preparation - UPSC

1. What is a shortcut trick to find the square root of a perfect square?

Ans.To find the square root of a perfect square quickly, you can use the prime factorization method. Factor the number into its prime factors, group the pairs of the same factor, and multiply one factor from each pair. For example, to find the square root of 36: The prime factorization is 2 × 2 × 3 × 3. Grouping gives (2, 2) and (3, 3), so the square root is 2 × 3 = 6.

2. How can I estimate the square root of a non-perfect square?

Ans.To estimate the square root of a non-perfect square, identify the two perfect squares it lies between. For instance, for √20, it lies between √16 (4) and √25 (5). You can then guess a value between 4 and 5, and refine your estimate. For a better approximation, you can use the formula: √N ≈ A + (N - A²)/(2A), where A is the nearest perfect square.

3. Is there a quick method for finding the square root of two-digit numbers?

Ans.Yes, for two-digit numbers, you can use the method of averaging. For example, to find √50, you know it lies between 7 (7²=49) and 8 (8²=64). Averaging 7 and 8 gives you 7.5 as a starting point. You can then square 7.5 to refine your estimate further.

4. What is the fastest way to calculate square roots for exam purposes?

Ans.The fastest way for exam purposes is to memorize the squares of numbers up to at least 15 or 20. Additionally, learn the shortcut tricks like the average method or the prime factorization method. Practicing these techniques will help you quickly identify square roots during exams.

5. Can I use a calculator to find square roots, and should I rely on it?

Ans.Yes, you can use a calculator to find square roots, but it's essential to understand the concepts behind square roots. Relying solely on a calculator can hinder your problem-solving skills. It's beneficial to practice and learn shortcut tricks to solve square roots mentally, especially during timed exams.

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Oct 19, 2025 Last updated

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CSAT Preparation

205 videos|264 docs|136 tests

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