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Unit 6: Radical Functions

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

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

5. [tex]15\sqrt{2}*-2\sqrt{20}[/tex]

6. [tex]4^{3}\sqrt{-9}*7^3\sqrt{48}[/tex]

7. [tex]3\sqrt{18w^7}*10\sqrt{4w^9}[/tex]

Sagot :

Answer:

See below ↓↓↓↓

Step-by-step 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.

  • [tex]3\sqrt{18w^{7} } *10\sqrt{4w^{9} }[/tex]
  • 30√72w¹⁶
  • 30*6*w⁸√2
  • 180w⁸√2