Question

Unit 6: Radical Functions

Homework 3: Add/Subtract/Multiply Radicals
Show your work!

4.
`5\sqrt[3]{32x^3y^4}-3xy^3\sqrt{4y`

5.
`15√(2)*-2√(20)`

6.
`4^(3)√(-9)*7^3√(48)`

7.
`3√(18w^7)*10√(4w^9)`

Answer 1

See below ↓↓↓↓

Explanation:

4.

• [5∛32x³y⁴] - [3xy³√4y]
• [5*2*x*y ∛4y] - [3xy³*2 √y]
• 10xy∛4y - 6xy³√y
• 2xy [5∛4y - 3y²√y]

5.

• 15√2 * -2√20
• -30√40
• -30*2√10
• -60√10

6.

• 4³√-9 * 7³√48
• 4³*3√-1 * 7³*4√3
• 263424√-3
• 263424i√3 [i is the complex number for √-1]

7.

• 
  `3\sqrt{18w^(7) } *10\sqrt{4w^(9) }`
• 30√72w¹⁶
• 30*6*w⁸√2
• 180w⁸√2