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Eleventh Grade (Grade 11) Complex Numbers Questions

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Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt(-96)[/math].
  1. [math]-4isqrt6[/math]
  2. [math]4sqrt6[/math]
  3. [math]4isqrt6[/math]
  4. [math]-4sqrt6[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt(-75)[/math].
  1. [math]-5sqrt3[/math]
  2. [math]5sqrt3[/math]
  3. [math]-5isqrt3[/math]
  4. [math]5isqrt3[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number expression [math]-25i^25 [/math].
  1. [math]-25[/math]
  2. [math]25[/math]
  3. [math]25i[/math]
  4. [math]-25i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt(-160)[/math].
  1. [math]-4isqrt10[/math]
  2. [math]-4sqrt10[/math]
  3. [math]4isqrt10[/math]
  4. [math]4sqrt10[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Perform the operation for the complex number radical expression [math]sqrt(-64)+sqrt(-36)[/math].
  1. [math]-14i[/math]
  2. [math]14i[/math]
  3. [math]14[/math]
  4. [math]-14[/math]
Grade 11 Complex Numbers
Expand and simplify [math](10-12i)(10+12i)[/math].
  1. [math]100-144i[/math]
  2. [math]244[/math]
  3. [math]244i^2[/math]
  4. [math]244i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt(-1000)[/math]?
  1. [math]10isqrt10[/math]
  2. [math]-10isqrt10[/math]
  3. [math]10sqrt10[/math]
  4. [math]-10sqrt10[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt(-350)[/math]
  1. [math]-5sqrt14[/math]
  2. [math]-5isqrt14[/math]
  3. [math]5isqrt14[/math]
  4. [math]5sqrt14[/math]
Grade 11 Complex Numbers
Grade 11 Complex Numbers
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the imaginary unit in the following expression: [math]i^25+i^17[/math].
  1. [math]sqrt(-1)[/math]
  2. [math]2i[/math]
  3. [math]-2i[/math]
  4. [math]-1[/math]
Grade 11 Complex Numbers
Expand and simplify: [math](10-7i)(10+7i)[/math].
  1. [math]149[/math]
  2. [math]-149i[/math]
  3. [math]100 - 49i[/math]
  4. [math]140i^2[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the complex numbers in the following expression: [math](-3+2i)(-6-8i)[/math].
  1. [math]-34-12i[/math]
  2. [math]34+12i[/math]
  3. [math]34-12i[/math]
  4. [math]-34+12i[/math]
Grade 11 Complex Numbers
What is the conjugate of [math]-4-3i[/math]?
  1. [math]4+3i[/math]
  2. [math]-4+3i[/math]
  3. [math]-4-3i[/math]
Grade 11 Complex Numbers
Expand and simplify: [math](10-10i)(10+10i)[/math].
  1. [math]0[/math]
  2. [math]100-100i[/math]
  3. [math]200[/math]
  4. [math]-200i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the complex numbers: [math]-6i(70-85i)[/math].
  1. [math]510+420i[/math]
  2. [math]510-420i[/math]
  3. [math]-510+420i[/math]
  4. [math]-510-420i[/math]
Grade 11 Complex Numbers
Simplify: [math]8i^6+6i^5-5i^3-3i^2-7i-9[/math]
  1. [math]-14+4i[/math]
  2. [math]-4+4i[/math]
  3. [math]-10i[/math]
  4. [math]-14-18i[/math]
Grade 11 Complex Numbers
After expanding [math](10-15i)(10+15i)[/math], what will the imaginary part be?
  1. [math]150i[/math]
  2. [math]300i[/math]
  3. [math]-300i[/math]
  4. [math]0[/math]
Grade 11 Complex Numbers
Simplify. [math](2-i)/(-3+6i)[/math]
  1. [math]-4/9-1/3i[/math]
  2. [math]-4/15-1/3i[/math]
  3. [math]-4/15-1/5i[/math]
  4. [math]-1/5i[/math]
Grade 11 Complex Numbers
What does [math] i^45[/math] equal?
  1. [math]i[/math]
  2. [math]-i[/math]
  3. [math]1[/math]
  4. [math]-1[/math]
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