Rationalizing Denominators with Imaginary Numbers

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

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

What is the complex conjugate of 2 - 2i?

• -2 + 2i

• 2 - 2i

• 2 + 2i

• -2 - 2i

Tags

CCSS.HSN.CN.A.3

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

What is the result of multiplying 2i and -4i?

• 8i^2

• -8i

• 8i

• -8i^2

Tags

CCSS.HSN.CN.A.2

What is the value of i^2?

• -i

• -1

• i

• 1

Tags

CCSS.HSN.CN.A.1

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

What is the simplified form of 14 - 2i over 8?

• 7/4 - i/4

• 14/4 - 2i/4

• 14/8 - 2i/8

• 7/2 - i/2

Tags

CCSS.HSN.CN.A.3

How should complex numbers be written?

• a + bi

• a - bi

• a + b

• a - b

Tags

CCSS.HSN.CN.A.1

What is the final answer for the given problem?

• 7/4 + i/4

• 14/8 - 2i/8

• 14/8 + 2i/8

• 7/4 - i/4

Tags

CCSS.HSN.CN.A.3