Square Roots & Cube Roots Exam Pattern Mix

Unit digit 9 → root ends in 3 or 7

Drop the last two digits: 640 → 25² = 625 ≤ 640 → tens part 25

Compare with 255² = 65,025: 64,009 is smaller → take 253

Check: 253² = 64,009

Answer: 253

√9 = 3

19 − 3 = 16 → √16 = 4

21 + 4 = 25 → √25 = 5

41 − 5 = 36 → √36 = 6

Answer: 6

√2.56 = 1.6

√0.09 = 0.3

1.6 × 0.3 = 0.48

Answer: 0.48

1.73² = 2.9929 and 1.74² = 3.0276

√3 ≈ 1.7320…

Correct to 2 places: 1.73

Answer: 1.73

∛(−27) = −3

∛64 = 4

−3 + 4 = 1

Answer: 1

Side = √7,056 = 84 m

Perimeter = 4 × 84 = 336 m

Cost = 336 × 5 = ₹ 1,680

Answer: ₹ 1,680

∛1000 = 10

√100 = 10

√0.01 = 0.1

10 − 10 + 0.1 = 0.1

Answer: 0.1

√? = 2.5 × 13 = 32.5

? = 32.5²

= 1,056.25

Answer: 1,056.25

1.5² = 2.25

√0.0225 = 0.15

2.25 × 0.15 = 0.3375

Answer: 0.3375

√5329 = 73 (unit digit 9 → 3 or 7; 70² = 4,900 < 5,329 < 75² → 73)

√4489 = 67 (65² = 4,225 < 4,489 → 67)

73 + 67 = 140

Answer: 140