Simplify Radical Expressions and Complex Numbers

If (a+b)²=a²+2ab+b², then (√2+√3)² is equal to

• 5
• √6
• √5
• 5+2√6

Tags

CCSS.HSN.RN.A.2

2√5 - √5 + 4√5 + √3

• 6√5 + √3
• 5√5 + √3
• 6√5
• 6√3

Simplify:
√10 ⋅ √45

• 3√50
• 8√2
• √450
• 15√2

Simplify √72

• 7√9
• 4√6
• 6√2
• 3√4

5√48x²

• 10x√3
• 15x√3
• 20x√3
• 25x√3

Tags

CCSS.HSN.RN.A.2

Simplify: 
(10+ 15i) - (48 - 30i)

• 58 - 45i
• 58 - 15i
• -38 - 15i
• -38 + 45i

Tags

CCSS.HSN.CN.A.2

Find the sum.
(5-2i) + (-7+8i)

• -2+6i
• 12+6i
• -35-16i²
• -35 -16i

Tags

CCSS.HSN.CN.A.2

(1-3i)(2+5i)

• 22-i
• 16-i
• 17-i

Tags

CCSS.HSN.CN.A.2

What does i² = ?

• -1
• √-1
• 1
• -√1

Tags

CCSS.HSN.CN.A.1

Calculate:
i + 6i

• 6i²
• 7i
• 5i
• 7i²

Tags

CCSS.HSN.CN.A.2