$sqrt[]

The function $sqrt[] calculates the square root of a non-negative number.

Syntax

$sqrt[value]

Parameters

Parameter	Type	Required	Description
value	number	Yes	The number to calculate the square root of. ≥ 0.

Behavior

• Returns the square root of the value as a decimal number (double precision).
• For perfect squares, the result is an integer: $sqrt[16] → 4.
• For other values, the result is a decimal number: $sqrt[2] → 1.4142135....
• For 0, it returns 0.
• For negative numbers, the behavior is undefined (may return NaN or an error).

Examples

Perfect square:

$sqrt[16]
→ 4

$sqrt[25]
→ 5

$sqrt[100]
→ 10

Non-integer root:

$sqrt[2]
→ 1.4142135623730951

Root of zero:

$sqrt[0]
→ 0

Hypotenuse calculation (Pythagorean theorem):

$sqrt[$calculate[$getVar[a]^2 + $getVar[b]^2]]

Notes

• Do not use with negative numbers.
• For powers (squaring), use $calculate[value^2] or $multi[value;value].
• For other roots (cube root, etc.), use $calculate[value^(1/3)].
• The precision is that of a Java double (~15 significant digits).