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# Common Core Standard HSN-CN.A.2 Questions

Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

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Grade 12 Complex Numbers CCSS: HSN-CN.A.2
$(4i)^2$
1. $16i$
2. $4$
3. $16$
4. $8i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify $i^206$.
1. $-1$
2. $sqrt-1$
3. $1$
4. $-i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt-96$.
1. $-4isqrt6$
2. $4sqrt6$
3. $4isqrt6$
4. $-4sqrt6$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate the complex number expression $(15i^40)^3$.
1. $3375$
2. $-3375$
3. $3375i$
4. $-3375i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt-75$.
1. $-5sqrt3$
2. $5sqrt3$
3. $-5isqrt3$
4. $5isqrt3$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt-1000$?
1. $10isqrt10$
2. $-10isqrt10$
3. $10sqrt10$
4. $-10sqrt10$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt-160$.
1. $-4isqrt10$
2. $-4sqrt10$
3. $4isqrt10$
4. $4sqrt10$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate the complex expression $i^1400$.
1. $-1$
2. $1$
3. $sqrt-1$
4. $-i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add and simplify the complex number expression: $-60i^60 -70i^180$.
1. $130$
2. $-130$
3. $130i$
4. $-130i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the imaginary unit in the following expression: $i^25+i^17 =$
1. $sqrt-1$
2. $2i$
3. $-2i$
4. $-1$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the imaginary unit $(i)$ in the following expression: $(-3+2i)(-6-8i)$
1. $-34-12i$
2. $34+12i$
3. $34-12i$
4. $-34+12i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt-350$
1. $-5sqrt14$
2. $-5isqrt14$
3. $5isqrt14$
4. $5sqrt14$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Perform the operation for the complex number radical expression $sqrt-64+sqrt-36$.
1. $-14i$
2. $14i$
3. $14$
4. $-14$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
What is the complex conjugate $20-6i$?
1. $20-6i$
2. $-20+6i$
3. $20+6i$
4. $-20-6i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Divide and simplify the complex number expression: $(9i)/(-14+105i)$.
1. $-135/1603-18/1603i$
2. $-135/1603+18/1603i$
3. $135/1603-18/1603i$
4. $135/1603+18/1603i$
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