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Common Core Standard HSN-CN.A.1 Questions

Know there is a complex number i such that i2 = –1, and every complex number has the form a + bi with a and b real.

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Grade 11 Complex Numbers CCSS: HSN-CN.A.1
Simplify completely. [math]sqrt(-200)[/math]
  1. [math]10sqrt2[/math]
  2. [math]-10isqrt2[/math]
  3. [math]-10sqrt2[/math]
  4. [math]10isqrt2[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
Simplify completely. [math]sqrt(-144)/(sqrt4)[/math]
  1. [math]-6i[/math]
  2. [math]6[/math]
  3. [math]-6[/math]
  4. [math]6i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
Simplify the radical. [math]sqrt(-50)[/math]
  1. [math]10isqrt2[/math]
  2. [math]-10isqrt2[/math]
  3. [math]-5isqrt2[/math]
  4. [math]5isqrt2[/math]
  5. can not be done
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
Simplify the radical. [math]sqrt(-9)[/math]
  1. [math]3i[/math]
  2. [math]-3i[/math]
  3. [math]9i[/math]
  4. [math]-9i[/math]
  5. [math]3isqrt3[/math]
  6. [math]-3isqrt3[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
Which of the following is the correct simplified form of the expression [math]sqrt(-9) + sqrt(4) ?[/math]
  1. [math]-7i[/math]
  2. [math]2 + 3i[/math]
  3. [math]-3i + 2[/math]
  4. [math]2 - 3i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
Which of the following is the correct simplified form of the expression [math]-sqrt(-4) - sqrt(9) ?[/math]
  1. [math]-5i[/math]
  2. [math]-3-2i[/math]
  3. [math]3-2i[/math]
  4. [math]2i-3[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
Simplify the complex number radical expression [math]sqrt {:-1600[/math].
  1. [math]-40[/math]
  2. [math]40[/math]
  3. [math]-40i[/math]
  4. [math]40i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
Simplify completely. [math]sqrt(-169)[/math]
  1. [math]-isqrt13[/math]
  2. [math]-13i[/math]
  3. [math]13i[/math]
  4. [math]+-13[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
What is [math]sqrt800 + sqrt(-50)[/math] ?
  1. [math]20sqrt2+25i[/math]
  2. [math]sqrt800+50i [/math]
  3. [math]20sqrt2 +5isqrt2[/math]
  4. [math]25isqrt2[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
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.1
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.1
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.1
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.1
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 CCSS: HSN-CN.A.1
What is [math]25 + sqrt(-75) ?[/math]
  1. [math]25+25i sqrt3[/math]
  2. [math]25+5isqrt3 [/math]
  3. [math]5+75i[/math]
  4. [math]5+15i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
What is [math]sqrt(-81) ?[/math]
  1. [math]81+i[/math]
  2. [math]81i[/math]
  3. [math]9i[/math]
  4. [math]-9i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
What is [math]sqrt 25 + sqrt(-25) ?[/math]
  1. [math]5i-5[/math]
  2. [math]25+5i[/math]
  3. [math]25i[/math]
  4. [math]5+5i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
What is [math]sqrt(-4) ?[/math]
  1. [math]2i[/math]
  2. [math]4i[/math]
  3. [math]4+i[/math]
  4. [math]16i[/math]

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