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vipankumar87

MCP Multi-Tool Server

by vipankumar87
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Python
Local

square_root

Calculate the square root of a number to solve mathematical problems or verify calculations. Enter a numeric value to get its square root result.

Instructions

Calculate the square root of a number.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
xYes

Implementation Reference

  • server.py:100-105 (handler)
    The handler function for the 'square_root' tool. It takes a float input 'x', validates that it is non-negative, and returns the square root using math.sqrt. Registered via the @mcp.tool() decorator.
    @mcp.tool()
def square_root(x: float) -> float:
    """Calculate the square root of a number."""
    if x < 0:
        raise ValueError("Cannot calculate square root of negative number")
    return math.sqrt(x)

Tool Definition Quality

C2.9/5.0
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations provided, the description carries full burden for behavioral disclosure. It only states what the tool does ('calculate'), but doesn't mention important traits: whether it handles negative inputs (returns error, NaN, or complex numbers), precision/rounding behavior, performance characteristics, or what happens with invalid inputs. This leaves significant gaps for a mathematical operation.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is perfectly concise - a single sentence that states exactly what the tool does with zero wasted words. It's front-loaded with the core functionality and doesn't include unnecessary elaboration. Every word earns its place.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the mathematical nature and lack of annotations/output schema, the description is incomplete. It doesn't address critical context: error handling for negative inputs, return value format (number, object with error?), precision, or mathematical domain constraints. For a tool that could have edge cases with negative numbers, this leaves too much undefined.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

The schema has 0% description coverage (parameter 'x' has no description in schema), so the description must compensate. It adds meaning by specifying 'x' represents 'a number' for square root calculation, which is helpful context. However, it doesn't provide constraints (e.g., non-negative requirement) or examples, leaving ambiguity about valid input ranges.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states the verb ('calculate') and resource ('square root of a number'), making the purpose immediately understandable. It distinguishes from siblings like 'add' or 'power' by specifying the mathematical operation. However, it doesn't explicitly differentiate from similar operations like 'power' with exponent 0.5, which would make it a perfect 5.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description provides no guidance on when to use this tool versus alternatives. It doesn't mention when to prefer this over using 'power' with exponent 0.5, nor does it specify any prerequisites like handling negative numbers. The agent must infer usage from the tool name alone.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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