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Square Root of a Perfect Square Exam favourite

Find 2-digit square roots from the last digit and a quick check

The Rule

  1. 1The last digit gives two possible unit digits for the root (1→1/9, 4→2/8, 9→3/7, 6→4/6; 5→5, 0→0).
  2. 2Drop the last 2 digits; the tens digit t is the largest with t² ≤ what is left.
  3. 3If what is left ≥ t × (t + 1), pick the larger unit digit; otherwise the smaller.