We can multiply both top and bottom by 3+√2 (the conjugate of 3−√2), which won't change the value of the fraction: (The denominator becomes (a+b) (a−b) = a2 − b2 which simplifies to 9−2=7) Use a …

Free Complex Numbers Conjugate Calculator - Rationalize complex numbers by multiplying with conjugate step-by-step

Interactive lesson and demonstration on how to multiply complex number binomials. Also, a look at the special case of complex conjugates.

Multiplying a complex number by its conjugate results in a real number. This is useful for simplifying complex numbers and is similar to the difference of squares.

If f(x) is a square root function, then multiplication by the conjugate can be used to simplify this expression (in particular, to eliminate the h from the denominator).

May 21, 2025 · Since multiplying conjugates is at the core of both simplifying radical expressions and dividing complex numbers, let’s first make sure we know exactly how to do it.

Learn how to multiply expressions involving complex conjugates, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

Defines the "conjugate" of a radical sum. Explains how to simplify radical fractions, and demonstrates how to "rationalize the denominator".

Aug 9, 2025 · Master the technique of multiply by conjugate to simplify complex expressions and rationalize denominators with clarity and confidence.

Two binomials are conjugates when they have the same terms but opposite signs in the middle. This article will show how to find conjugates, understand why we need them, and apply them when …