Question 17
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A student found √7,056 by the long-division method. The last line is missing.
| Step | Working |
|---|---|
| Pair the digits | 70 | 56 |
| Largest square ≤ 70 | 8² = 64, remainder 6 |
| Bring down 56 | 656 |
| Double 8 → 16_; 16_ × _ ≤ 656 | 164 × 4 = 656, remainder 0 |
| Square root | ? |
What is √7,056?
- A 82
- B 94
- C 164
- D 84 Correct
Correct Answer: Option D
First digit from 8² = 64 → 8
Next digit from 164 × 4 = 656 → 4
Remainder 0, so √7,056 = 84
Trap: 164 is the trial divisor, not the root.
Answer: 84
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