- A1
- B4
- C3
- D2
Step-by-Step Solution
Pairing 1024 from the right gives 10 24 — two pairs, so the square root has 2 digits. (Indeed )
Answer: D) 2
How many digits will the square root of 1024 have?
Class 8Squares and Square RootsSquares and Roots
Key idea: Square root by long division
Use this for larger numbers (or non-perfect squares).
**Step 1**: Pair the digits from the right (e.g. 1849 → 18 49).
**Step 2**: Find the largest integer whose square ≤ first pair. Write it as the first quotient digit. Subtract its square.
**Step 3**: Bring down the next pair. Double the current quotient — that's your divisor's prefix. Find a digit such that (prefix × ≤ current dividend.
**Step 4**: Append to quotient, subtract, repeat.
Example: ≤ 18; remainder 2; bring down 49 → 249; double 4 = 8; find where ≤ 249; gives .) Quotient = 43.
**Step 1**: Pair the digits from the right (e.g. 1849 → 18 49).
**Step 2**: Find the largest integer whose square ≤ first pair. Write it as the first quotient digit. Subtract its square.
**Step 3**: Bring down the next pair. Double the current quotient — that's your divisor's prefix. Find a digit such that (prefix × ≤ current dividend.
**Step 4**: Append to quotient, subtract, repeat.
Example: ≤ 18; remainder 2; bring down 49 → 249; double 4 = 8; find where ≤ 249; gives .) Quotient = 43.
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