Square Root Calculator
Calculate √n with detailed step-by-step explanation
You entered:
144
Result
√144 = 12
12 × 12 = 144
Step-by-Step Solution (Long Division Method)
1
Pair the digits from right to left
1 44
2
Find largest square ≤ first group
Largest number whose square ≤ 1 is 1 (1² = 1)
Subtract: 1 − 1 = 0
3
Bring down next pair
Bring down 44 → Current dividend = 44
Double the current root (1 × 2) = 2
4
Find the next digit
We need digit X where (2X) × X ≤ 44
X = 2 → 22 × 2 = 44 ✓
Subtract: 44 − 44 = 0
Final Answer: 12
Perfect Square!
Not a Perfect Square
Perfect for learning the traditional long division method