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BEGINNERNumber Properties

Identify Perfect Square Roots

Instantly identify if a number is a perfect square and find its root

SSCIBPS

Perfect squares can only end in 0, 1, 4, 5, 6, or 9

How It Works

0

Numbers ending in 2, 3, 7, 8 are NEVER perfect squares

1

For 4-digit perfect square: Split into pairs from right

2

Left pair gives first digit of root

3

Last digit determines last digit of root

Examples

📝 √2704: 27|04 → √27≈5 → root is 50-something. Ends in 4 → 52 or 58. 52²=2704 ✓

📝 √7569: 75|69 → √75≈8 → root is 80-something. Ends in 9 → 87. 87²=7569 ✓

Pro Tips

💡 If ends in 1 → root ends in 1 or 9

💡 If ends in 4 → root ends in 2 or 8

💡 If ends in 6 → root ends in 4 or 6

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