# Simplify (9+ square root of 2i)/(4-3i)

Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Combine.
Simplify the numerator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
Multiply by .
Multiply by .
Move to the left of .
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Multiply by .
Move to the left of .
Reorder and .
Simplify the denominator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Subtract from .
Simplify each term.
Rewrite as .
Multiply by .
Factor out of .
Rewrite as .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Simplify the expression.
Rewrite as .
Move the negative in front of the fraction.
Split the fraction into two fractions.
Split the fraction into two fractions.
Split the fraction into two fractions.
Move the negative in front of the fraction.
Move the negative in front of the fraction.
Move the negative in front of the fraction.
Simplify (9+ square root of 2i)/(4-3i)

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