IMSQRT Google Sheet Formula

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IMSQRT Formula Syntax

=IMSQRT("-4")

Example Use Case

Calculating the square root of a complex number for complex analysis

Understanding the IMSQRT Formula

The IMSQRT function in Excel calculates the square root of a complex number. It's an advanced mathematical tool for complex analysis—like finding square roots of negative or complex numbers in engineering, electronics, or theoretical physics calculations.

IMSQRT("-4") returns "0+2i", the complex square root of -4. It takes an inumber argument (as text in the form "x+yi" or "x+yj"), computing the principal square root—perfect for applications where standard SQRT would fail because of negative or complex inputs.

Why Use IMSQRT?

IMSQRT handles negative and complex roots—think advanced engineering or physics calculations. Its ability to find square roots in the complex domain extends beyond standard SQRT, making it essential for technical applications requiring roots of any number, regardless of sign or complexity.

Example with Sample Data

Complex Number	Formula	Result
"-4"	=IMSQRT("-4")	0+2i
"4"	=IMSQRT("4")	2
"1+i"	=IMSQRT("1+i")	1.11803398874989+0.44721359549996i

IMSQRT finds complex square roots: "0+2i" for -4, showing pure imaginary results for negative real numbers. For positive real numbers like 4, it matches the standard SQRT result. It's a universal square root calculator.