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Master Guide: Squares & Roots

Topic: Speed Math Read Time: 5 Mins

In Banking exams (IBPS/SBI), you cannot afford to waste time calculating squares like 48 × 48 on paper. Here are the 3 best tricks to calculate Squares and Square Roots instantly.

Trick 1: Numbers Ending with 5

Example: 35²
1. 3 × 4 = 12
2. Append '25' → 1225

Trick 2: Base 50 Method

Golden Number is 25. Compare with 50, adjust with 25.

Example: 48² (-2 from 50)
1. 25 - 2 = 23
2. 2² = 04 → Answer: 2304

Trick 3: Square Root

Question Ends With Answer Ends With
1 1 or 9
4 2 or 8
5 5
Example: Find √7921
1. Last digit is 1: So answer ends in 1 or 9.
2. Ignore last 2 digits: We are left with 79.
3. Nearest Square: Which square is close to 79?
8² = 64 (Low), 9² = 81 (High). Take the lower one: 8.
4. Decision: Is answer 81 or 89?
Since 79 is closer to 81 (9²) than 64 (8²), pick the larger number.
👉 Answer: 89

Practice these tricks daily!

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