Complex and Irrational Conjugates

What is the conjugate of 2 + √3

• 2 + √3

• 2 - √3

• -2 + √3

• -2 - √3

Tags

CCSS.HSN.CN.A.3

CCSS.HSN.CN.B.5

What is the conjugate of √5

• √5

• 5

• -5

• -√5

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

• -3+5i
• -3-5i
• -5i
• 3-5i

Tags

CCSS.HSN.CN.A.3

What is the conjugate of -2-√5 ?

• -2-√5

• -2+√5

• 2+√5

• √5

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -7i is a root. 

• 7i
• -7i+1
• 1-7i
• 1+7i

Tags

CCSS.HSN.CN.A.3

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.7

CCSS.HSN.CN.C.9

Name the Theorem
If P(x) is a polynomial with rational coefficients, then the irrational roots of P(x) = 0 occur in conjugate pairs.

• Binomial Theorem
• Factor Theorem
• Conjugate Root Theorem
• Rational Root Theorem

All zeros containing a square root sign comes in pairs.

• True

• False

What is the complex conjugate of  4-3i?

• A.  1/(4-3i)
• B. 1/(4+3i)
• C.  -4 + 3i
• D.  4 + 3i

Tags

CCSS.HSN.CN.A.3

What is the complex conjugate of 3 + √3?

• 3 - √3

• -3 - √3

• 3 + √3

• -3 + √3

Tags

CCSS.HSN.CN.A.3