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For Republic Day, 324 cadets stand in a square formation, with as many rows as cadets in each row. How many cadets are in each row?

Class 8Squares and Square RootsSquares and Roots
  • A162
  • B81
  • C36
  • D18

Step-by-Step Solution

In a square formation the total is because .
Answer: D) 18

Key idea: Square root by prime factorisation

**Step 1**: factorise the number into primes.
**Step 2**: pair up identical factors.
**Step 3**: from each pair, take ONE factor — the product is the square root.

Example: . Factorise: . So .

Example: . Factorise: . So .

If any prime appears an odd number of times, the number isn't a perfect square — and you'd need to multiply (or divide) by that prime to make it one.

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