Vm Squaring — Free Vedic Maths Tutorial
Learn Vm Squaring in Vedic Maths with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.
TL;DR: Learn Vm Squaring in Vedic Maths with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Vm Squaring in Vedic Maths
Squaring numbers ending in 5 has an instant formula: (10a + 5)² = 100a(a+1) + 25. For 85²: a=8, so 100×8×9 + 25 = 7200 + 25 = 7225. The logic: (10a+5)² = 100a² + 100a + 25 = 100a(a+1) + 25. You multiply the tens digit by (tens digit + 1), then append 25.
For squaring near a base (e.g., base 100), use (base − d)² = base² − 2×base×d + d². For 96²: (100−4)² = 10000 − 800 + 16 = 9216. This is an application of Nikhilam with the same number twice.
These shortcuts turn squaring from a lengthy multiplication into a mental calculation. Combined with addition shortcuts, squaring becomes as fast as single-digit arithmetic.
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