Rationalizing Denominators with Imaginary Numbers
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Lucas Foster
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important not to leave a rational expression with 'i' in the denominator?
It makes the expression undefined.
It is not in standard form.
It makes the expression imaginary.
It complicates further calculations.
Tags
CCSS.HSN.CN.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What do you multiply by when you have a binomial with 'i' in the denominator?
The same binomial.
The reciprocal of the binomial.
The negative of the binomial.
The complex conjugate of the binomial.
Tags
CCSS.HSN.CN.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the complex conjugate of 2 - 2i?
-2 + 2i
2 - 2i
2 + 2i
-2 - 2i
Tags
CCSS.HSN.CN.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method does the teacher prefer for organizing terms during multiplication?
Long division
Cross multiplication
Box method
FOIL method
Tags
CCSS.4.NBT.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying 2i and -4i?
8i^2
-8i
8i
-8i^2
Tags
CCSS.HSN.CN.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of i^2?
-i
-1
i
1
Tags
CCSS.HSN.CN.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the middle terms when multiplying by the complex conjugate?
They remain unchanged.
They double.
They cancel out.
They become imaginary.
Tags
CCSS.HSN.CN.C.8
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