Integer sqrt

integer-sqrt · version 1.0.0 · Numbers & math · free, no key needed

Compute the exact floor of the square root of a non-negative integer string.

Use when you need to: integer sqrt · integer square root · floor square root.

Supported

• integer sqrt
• integer square root
• floor square root

Not supported

• negative square root
• floating-point square root
• nth root

Behavior

• value is a canonical non-negative integer string: 0 or a non-zero leading digit followed by digits, at most 1000 digits.
• Negative values are rejected.
• The result is floor(sqrt(value)), computed exactly by integer Newton iteration (no floating point).
• is_perfect_square is true exactly when result * result equals value.
• The result may have up to 500 digits.

Input

• value (string, required): max length 1000; pattern ^(0|[1-9][0-9]*)$

Output

• result (string, required)
• is_perfect_square (boolean, required)

Limits

• max digits: 1000

Example

Request input:

{
  "value": "17"
}

Response:

{
  "result": {
    "result": "4",
    "is_perfect_square": false
  }
}

How to call it

MCP

Connect https://computefirst.net/mcp (setup), then call execute with:

{
  "id": "integer-sqrt",
  "version": "1.0.0",
  "input": {
    "value": "17"
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/integer-sqrt/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"value":"17"}'

The machine-readable contract is at /v1/tools/integer-sqrt/versions/1.0.0.

CLI

node cli.mjs run integer-sqrt 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Related tools

• Integer nth root: Compute the exact floor of the nth root of a non-negative integer string.
• Integer digital root: Repeatedly sum the base-b digits of the magnitude of an integer string until a single digit remains.
• Integer is perfect square: Test whether a non-negative integer string is a perfect square.
• Array integer adjacent diff: Replace an array of canonical integer strings with consecutive first differences.
• Array integer clamp: Clamp an array of canonical integer strings to optional inclusive min and max bounds.
• Array integer cumulative sum: Replace an array of canonical integer strings with equal-length prefix sums.