Calzyra
CalzyraCALCULATE | CONVERT | SOLVE
FinanceInvestmentsHealthMathBlog
Calzyra
CalzyraCALCULATE | CONVERT | SOLVE

Smart calculators for every need. Trusted by millions of users worldwide for accurate, fast, and free calculation tools.

Popular Categories

  • Finance
  • Health & Fitness
  • Mathematics
  • Physics
  • Construction
  • Conversion

Finance Tools

  • Loan Calculators
  • Investment Calculators
  • Compound Interest
  • SIP Calculator
  • ROI Calculator
  • CAGR Calculator

Top Calculators

  • Mortgage Calculator
  • BMI Calculator
  • Percentage Calculator
  • Calorie Calculator
  • Tip Calculator

Company

  • About Us
  • Blog
  • Contact
  • Privacy Policy
  • Terms of Service

© 2026 Calzyra. All rights reserved.

Trusted by 2M+ monthly users
Home/Mathematics/Complex Numbers/Complex Square Root Calculator
Math CalculatorComplex Numbers

Complex Square Root Calculator

Find both square roots of any complex number. The principal square root is computed along with its negative, giving you the complete set of solutions.

Updated 2025-01-153 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

Enter the real component of the complex number

Enter the imaginary component of the complex number

Formula & Methodology

How this calculator works

√z = ±√r (cos(θ/2) + i sin(θ/2))

The square roots of a complex number z = r(cos θ + i sin θ) are found by halving the argument and taking the square root of the modulus, yielding two solutions that are negatives of each other.

Frequently Asked Questions

Common questions about this calculator

Complex Numbers Calculators

Complex Number CalculatorComplex Modulus CalculatorComplex Argument CalculatorComplex Conjugate CalculatorPolar to Complex ConverterComplex to Polar ConverterEuler's Formula CalculatorComplex Exponential CalculatorComplex Square Root CalculatorComplex Power CalculatorDe Moivre's Theorem CalculatorComplex Division Calculator

Related Calculators

Complex Number Calculator

Add, subtract, multiply, and divide complex numbers in rectangular form.

Complex Modulus Calculator

Find the modulus |z| = √(a² + b²) of any complex number.

Polar to Complex Converter

Convert polar form r∠θ to rectangular form a + bi.

Euler's Formula Calculator

Evaluate e^(iθ) = cos θ + i sin θ for any angle θ.

Quick Links

All Math CalculatorsComplex Numbers Category