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Negative Real Square Root Imaginary Coefficient Calculator

Negative Real Square Root Imaginary Coefficient Calculator — change the supplied values to calculate negative real square root imaginary coefficient.

YOUR INPUTS Live calculation

Input is positive magnitude q of radicand -q. Output is the coefficient of i, not a real square root.

Accepted inputs: Magnitude: 0.01 to 100 number.

Example values. Enter your own inputs.

Negative Real Square Root Imaginary Coefficient

3number

How the calculation works

√(-q)=i√q for q>0

The principal square root of a negative real number is purely imaginary with positive coefficient.

Worked example

With magnitude 9 number, negative real square root imaginary coefficient is 3 number.

Assumptions and limits

Input is positive magnitude q of radicand -q. Output is the coefficient of i, not a real square root.

Negative Real Square Root Imaginary Coefficient3 number
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