Simplifying Complex Numbers

Find the square root:

 $\sqrt{1}$  

• 1

• -1

• ±1

• none

Tags

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

What does i² = ?

• -1
• √-1
• 1
• -√1

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

 $\sqrt{-36}$  

• 6

• -6

• -6i

• 6i

Tags

CCSS.HSN.CN.A.1

Simplify:
√-108

• 3i√6
• 3i√20
• 6i√3
• 20i√3

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

How do you write a complex number?

• a-bi

• a+bi

• ai+b

• ai-b

Tags

CCSS.HSN.CN.A.1

3+√-4

• 1

• 3-2i

• 5

• 3+2i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

2 - √-9

• 2-3i

• 2+3= 5

• 2+3i

• 2 - 3= -1

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.B.4

Determine the value of the discriminant and name the nature of the roots for the following:

x² + 7x + 13

Remember: b² - 4ac

• 400, 2 real roots

• 0, 1 real repeated root

• -400, 2 imaginary roots

• -3, 2 imaginary roots

Tags

CCSS.HSA.REI.B.4

Solve the quadratic equation.

 $4x^2+11x=3x-10$ 

• $2+4i,\ 2-4i$

•  $\frac{-8+i\sqrt{6}}{4},\ \frac{-8-i\sqrt{6}}{4}$ 

•  $\frac{-4+i\sqrt{6}}{4},\ \frac{-4-i\sqrt{6}}{4}$ 

•  $\frac{-2+i\sqrt{6}}{2},\ \frac{-2-i\sqrt{6}}{2}$ 

Tags

CCSS.HSA.REI.B.4

 $For\ 2x^2\ -\ 4x\ +\ 3\ =\ 0,\ which\ is\ correct?$  

•  $\frac{4\ \pm\sqrt{-16\ -4\left(2\right)\left(3\right)}}{2\left(2\right)}$  

•  $\frac{-4\ \pm\sqrt{16\ -4\left(2\right)\left(3\right)}}{2\left(2\right)}$  

•  $\frac{4\pm\sqrt{16-4\left(2\right)\left(3\right)}}{4}$  

•  $\frac{4\pm\sqrt{40}}{4}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.A.1