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sqrt.md

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sqrt

Calculates the square root of a number with arbitrary precision.

Syntax

sqrt(value)

Parameters

Parameter Type Description
value Number/String The value to calculate the square root of

Returns

String - The square root of the input value with arbitrary precision.

Description

The sqrt function computes the square root of a numeric value. It uses arbitrary precision arithmetic, so results are accurate for very large or very precise numbers.

Examples

Basic Usage

Result = sqrt(16)
// Result: "4"

Result = sqrt(2)
// Result: "1.41421356237309504880168872420969807856967187537694..."

Result = sqrt(100)
// Result: "10"

In Complex Expressions

// Pythagorean theorem: c = sqrt(a² + b²)
Hypotenuse = sqrt(X^2 + Y^2)
// With X=3, Y=4: Result: "5"

// Distance formula
Distance = sqrt((X2 - X1)^2 + (Y2 - Y1)^2)

With Variables

Result = sqrt(100 * (C + 30)) + sin(Depth - Width) / 10
// With C=-13, Depth=100.203, Width=10.5
// Result: "41.32965489638783839821"

Nested in Other Functions

Result = 1.5 * sqrt(8 * 2.423782342^2) / 10
// Result: "1.02832375808904701855"

Result = 1 * sqrt(16)
// Result: "4"

Use Cases

  • Geometry calculations: Computing diagonals, distances, and hypotenuses
  • Statistical analysis: Used in standard deviation calculations
  • Physics formulas: Many physics equations involve square roots
  • Financial calculations: Volatility and other risk metrics

Related Functions

  • abs - Absolute value
  • pow - Power/exponentiation (use ^ operator)

Notes

  • Returns arbitrary precision results as strings
  • Input can be a number or a numeric string
  • Works with the Math service's sqrtPrecise method internally