Vedic Mathematics Sutras

Vedic Mathematics is based on 16 core Sutras and 13 Sub-Sutras that simplify arithmetic, algebra, and geometry using mental math techniques. These formulas are concise Sanskrit aphorisms that guide fast and intuitive calculations.

एकाधिकेन पूर्वेण

Ekādhikena Pūrvena – “By one more than the previous one”

A Vedic math shortcut for squaring numbers ending in 5

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निखिलं नवतश्चरमं दशतः

Nikhilam Navatascaramam Dasatah - “All from 9 and the last from 10”

Fast subtraction and multiplication

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ऊर्ध्व-तिर्यग्भ्याम्

Ūrdhva-Tiryagbhyām - “Vertically and Crosswise”

A universal method for fast multiplication

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परावर्त्य योजयेत्

Parāvartya Yojayet - "Transpose and Apply"

A universal method for fast division

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शून्यम् साम्यसमुच्चये

Shūnyam Sāmyasamuccaye- “When the sum is the same, that sum is zero”

Solving algebraic equations

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अनुरूप्ये शून्यमन्यत्

Ānurūpye Śūnyamanyat - “If one is in proportion, the other is zero.”

Solving algebraic equations

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सङ्कलन-व्यवकलनाभ्यां

Sankalana-vyavakalanābhyām - “By addition and subtraction”

Solving algebraic equations

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पूर्वपरयोः

Pūrvaparayoh - “By the first and the last terms”

Solve quadratic equations by analyzing the first and last terms

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