College Algebra Tutorial 12

WTAMU > Virtual Math Lab > College Algebra > Tutorial 12: Complex Numbers

 

 

 
 

 

 

 
 

 

 

 

AND

Step 2:  Simplify the expression.

 

*i squared = -1
 

 
 
 

 

 

 

AND

Step 2:  Simplify the expression.

 

*Combine imaginary numbers
*i squared = -1

 
 
 

 

 

 
 

So what would the conjugate of our denominator be? 

It looks like the conjugate is .

 
 

AND

Step 3:  Simplify the expression.

 

*
 

 
 
 

 

 
 
 

*Divide each term of num. by 10
 
 

*Complex num. in stand. form
 

 

 

 

 
 
 

AND

Step 3:  Write the final answer in standard form.

 

*The square root of 4 is 2 and the square root of 36 is 6
*Add like radicals: 15i + 6i = 21i
*Complex num. in stand. form (note real num. part is 0)

 

 

 

 
 
 

AND

Step 3:  Write the final answer in standard form.

 

*i squared = -1

*Complex num. in stand. form

 

 

 

 

 
 

AND

Step 3:  Write the final answer in standard form.

 
 
 

*Rewrite 20 as (4)(5) 
 
 

*The square root of 4 is 2
 
 

*Divide each term of num. by 2
 
 

*Complex num. in stand. form
 

 

 

 

 
 
 

AND

Step 3:  Write the final answer in standard form.

 

*Complex num. in stand. form (note that the imaginary part is 0)

 
 

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