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# Complex Numbers Questions - All Grades

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Simplify problem to discover product of $(2 - i)(4 + 5i)$ in standard form.
1. $13 - 6i$
2. $8 + i$
3. $3 + 6i$
4. $13 + 6i$
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
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
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
Perform the operation for the complex number radical expression $sqrt(-64)+sqrt(-36)$.
1. $-14i$
2. $14i$
3. $14$
4. $-14$
Expand and simplify $(10-12i)(10+12i)$.
1. $100-144i$
2. $244$
3. $244i^2$
4. $244i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt(-1000)$?
1. $10isqrt10$
2. $-10isqrt10$
3. $10sqrt10$
4. $-10sqrt10$
What is the conjugate of $-4-3i$?
1. $4+3i$
2. $-4+3i$
3. $-4-3i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt(-350)$
1. $-5sqrt14$
2. $-5isqrt14$
3. $5isqrt14$
4. $5sqrt14$
Expand and simplify: $(10-7i)(10+7i)$.
1. $149$
2. $-149i$
3. $100 - 49i$
4. $140i^2$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the complex numbers in the following expression: $(-3+2i)(-6-8i)$.
1. $-34-12i$
2. $34+12i$
3. $34-12i$
4. $-34+12i$
Simplify: $8i^6+6i^5-5i^3-3i^2-7i-9$
1. $-14+4i$
2. $-4+4i$
3. $-10i$
4. $-14-18i$
If $i^2=-1$, then what is the value of $i^32$?
1. $-1$
2. $1$
3. $-i$
4. $i$
Expand and simplify: $(10-10i)(10+10i)$.
1. $0$
2. $100-100i$
3. $200$
4. $-200i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the complex numbers: $-6i(70-85i)$.
1. $510+420i$
2. $510-420i$
3. $-510+420i$
4. $-510-420i$
After expanding $(10-15i)(10+15i)$, what will the imaginary part be?
1. $150i$
2. $300i$
3. $-300i$
4. $0$
Simplify. $(1+2i)/ (2-3i)$
1. $(8/7) + i$
2. $(8/7) + (1/7)i$
3. $-4+7i$
4. $-(4/13) +(7/13) i$
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor $x^2+16$
1. $sqrt16i$
2. $(x-4i)(x+4i)$
3. $+-sqrt4$
4. $(x+2i)(x-2i)$
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