⌊√10000000000000000000000000000000000000000⌋
= 100000000000000000000
An exact power-of-ten perfect square.
Large Integer Square Root Calculator
Find the exact integer square root of a large non-negative whole number, rounded down without floating-point errors.
How this calculation works
This tool returns floor(√n), not an approximate real-number square root. Its result r satisfies r² ≤ n < (r + 1)². Perfect squares have an exact root; other inputs return the lower neighboring integer.
Inputs and accuracy
Enter a non-negative whole number in the first input. The second input is unused. Negative and non-integer values are rejected instead of returning complex or approximate roots.
When to use it
Check candidate perfect squares, establish integer bounds in number theory, or verify a large square without converting it into floating point.
Worked examples
⌊√99⌋
= 9
The result is nine, not a rounded real square root.
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