Fastest Way To Find Square of Any Number (1-infinity) | Vedic Maths

Vedic Maths is a collection of techniques/sutras to solve mathematical problem sets in a fast and easy way. These tricks introduce wonderful applications of Arithmetical computation, theory of numbers, mathematical and algebraic operations, higher-level mathematics, calculus, and coordinate geometry, etc.
Trick:
1.
Number Steps
65
6 × (6 + 1)
= 6 × 7
= 42 Add 1 to the left number (6) and multiply by the number itself and

=4225 Add 52 (25) at the last of 42
Answer : 65^2 = 65 × 65 = 4225

2.
34 50 - 16 = 34
52 = 25
= 25 + (-16)
= 9 Square the first digit (5) of first part (50) then add part (-16)
162 = 256 Square the second part of number (16)
9 + 256 = 1156 Add the answers got in step 1 (9)and step 2 (256)
Answer : 34^2 = 34 × 34 = 1156

3.
74 50 + 24 = 74
52 = 25 Square the first digit (5) of first part (50) then add
= 25 + 24
= 49 second part (24)
242 = 576 Square the second part of number 24
49 + 576 = 5476 Add the answers got in step 1 (49)and step 2 (576)
Answer : 74^2 = 74 × 74 = 5476

Chapters:
0:00-0:25 Vedic Maths
0:25-1:57 Example 1
1:57-3:20 Example 2
3:20-4:31 Example 3
4:21-4:57 Recommendation

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