The square root table from 1 to 30 includes both perfect square roots (exact values) and irrational square roots (approximate decimal values). Perfect squares up to 30 are: 1, 4, 9, 16, 25. All others are irrational numbers. Memorising key square roots is essential for Class 8–10 Maths and competitive exams.
Perfect squares 1–30: 1, 4, 9, 16, 25 (√1=1, √4=2, √9=3, √16=4, √25=5).
√2 ≈ 1.414; √3 ≈ 1.732; √5 ≈ 2.236; √10 ≈ 3.162.
Non-perfect square roots are irrational (non-terminating, non-repeating decimals).
√30 ≈ 5.477.
Square and square root are inverse operations: (√n)² = n.
Memorising √2 and √3 is essential for Class 9–10 and competitive exams.
Square Root Table (1 to 30):
| Number (n) | √n (approx.) | Perfect Square? |
|---|---|---|
| 1 | 1.000 | ✓ |
| 2 | 1.414 | ✗ |
| 3 | 1.732 | ✗ |
| 4 | 2.000 | ✓ |
| 5 | 2.236 | ✗ |
| 6 | 2.449 | ✗ |
| 7 | 2.646 | ✗ |
| 8 | 2.828 | ✗ |
| 9 | 3.000 | ✓ |
| 10 | 3.162 | ✗ |
| 11 | 3.317 | ✗ |
| 12 | 3.464 | ✗ |
| 13 | 3.606 | ✗ |
| 14 | 3.742 | ✗ |
| 15 | 3.873 | ✗ |
| 16 | 4.000 | ✓ |
| 17 | 4.123 | ✗ |
| 18 | 4.243 | ✗ |
| 19 | 4.359 | ✗ |
| 20 | 4.472 | ✗ |
| 21 | 4.583 | ✗ |
| 22 | 4.690 | ✗ |
| 23 | 4.796 | ✗ |
| 24 | 4.899 | ✗ |
| 25 | 5.000 | ✓ |
| 26 | 5.099 | ✗ |
| 27 | 5.196 | ✗ |
| 28 | 5.292 | ✗ |
| 29 | 5.385 | ✗ |
| 30 | 5.477 | ✗ |
Perfect Squares (1 to 30): 1, 4, 9, 16, 25 (√1=1, √4=2, √9=3, √16=4, √25=5)
Key Square Roots to Memorise: • √2 ≈ 1.414 (remember: 1.41421...) • √3 ≈ 1.732 (remember: 1.73205...) • √5 ≈ 2.236 • √6 ≈ 2.449 • √7 ≈ 2.646 • √10 ≈ 3.162
Trick to Remember √2 and √3: • √2 = 1.414 → 'I wish I knew the square root of two' (1.41421...) • √3 = 1.732 → 'Tree (3) has 1.732' — or '1 + 0.7 + 0.03 + 0.002'
Square vs Square Root: • Square of n = n² (e.g., 5² = 25) • Square root of n = √n (e.g., √25 = 5) • Square and square root are inverse operations
Perfect square roots 1–30: √1=1, √4=2, √9=3, √16=4, √25=5. Key irrational square roots: √2≈1.414, √3≈1.732, √5≈2.236, √7≈2.646, √10≈3.162, √30≈5.477. Non-perfect squares give irrational values (decimals that don't end or repeat).
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