Imaginary and Complex Numbers

 $\sqrt{144}-\sqrt{-90}+\sqrt{16}+\sqrt{-10}$  

•  $16-2i\sqrt{10}$  

•  $16+4i\sqrt{10}$  

•  $16+3i\sqrt{10}$  

•  $12-2i\sqrt{10}$  

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CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.B.4

CCSS.HSN.RN.A.2

 $-\sqrt{36}+\sqrt{-36}+\sqrt{16}+\sqrt{-9}$  

•  $-2-9i$  

•  $10+9i$  

•  $-2+9i$  

•  $-10-9i$  

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CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

 $-\sqrt{100}+\sqrt{-9}+\sqrt{9}-\sqrt{-16}$  

• 13 +7i

• -7 - 7i

• 13 - i

• -7 - i

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CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

Write $\sqrt{-192}$  in simplest form.

•  $8i\sqrt{3}$  

• 8i + 3

•  $4i\sqrt{12}$   

•  $4i+\sqrt{12}$  

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CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Write $\sqrt{-10}$ in simplest radical form.  

•  $-i\sqrt{10}$  

•  $i\sqrt{10}$  

•  $-\sqrt{5}\sqrt{2}$  

•  $\sqrt{5}\sqrt{2}\sqrt{-1}$  

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CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

Write $\sqrt{-200}$ in simplest radical form. 

•  $5\sqrt{-8}$  

•  $5i\sqrt{8}$  

•  $10i\sqrt{2}$  

•  $10\sqrt{-2}$  

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CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify the expression to a + bi form: $\left(2-i\right)-\left(-4+8i\right)$  

• 6 - 9i

• -2 + 7i

• 6 + 7i

• -2 - 9i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Simplify the expression to a + bi form: $\left(3+i\right)+\left(-12-9i\right)$  

• 15 - 8i

• -9 + 10i

• 15 + 10i

• - 9 - 8i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Simplify the expression to a + bi form: $\left(4-2i\right)-\left(4-7i\right)$  

• 0 + 9i

• 8 + 5i

• 0 + 5i

• -8 - 5i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Fully simplify. $\left(6\sqrt{-7}\right)\left(\sqrt{-3}\right)$  

•  $-6i\sqrt{21}$  

•  $-6\sqrt{21}$  

•  $6\sqrt{21}$  

•  $6i\sqrt{21}$  

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2