Using the Vedic sutra "Ekadhikena Purvena", find the value of 65².
Explanation
Explanation
Step 1: The sutra works for squares of numbers ending in 5. Split the number: 65 = 6 | 5.
Step 2: Take the digits before 5, i.e. 6, and multiply by "one more than itself" (ekadhika): 6 × 7 = 42.
Step 3: Write 25 at the end (because 5² = 25).
Step 4: Join the parts: 42 | 25 = 4225.
Step 5: Check by ordinary multiplication: 65 × 65 = 4225 ✓.
Answer: 4225.
PRO TIP
Re-check your working by substituting the answer back into the original question.
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