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Consider the complex rational number shown below. This exercise will walk you through the steps of rationalizing this number. To start, enter a "crazy one" in the blank using conjugates.
`(2-4i)/(6+7i) * `
Next, distribute the multiplication and combine like terms, but DO NOT simplify any of the `i^2` terms.
Next, replace all `i^2` terms with `-1`, and combine like terms. This is the rationalized complex number.
What are the real and imaginary parts of the rationalized number?
Real Part =
Imaginary Part =
`(2-4i)/(6+7i) * `
Next, distribute the multiplication and combine like terms, but DO NOT simplify any of the `i^2` terms.
Next, replace all `i^2` terms with `-1`, and combine like terms. This is the rationalized complex number.
What are the real and imaginary parts of the rationalized number?
Real Part =
Imaginary Part =
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Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Box 3: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Box 5: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question