juerjensa
juerjensa juerjensa
  • 07-05-2019
  • Mathematics
contestada

[tex]-3\sqrt{45y³}[/tex]

Respuesta :

altavistard
altavistard altavistard
  • 07-05-2019

Answer:

-9A · √(5yA)

Step-by-step explanation:

The coefficient -3 stays the same.

45 factors into 5·9, which is helpful because 9 is a perfect square.

Thus, √45 = 3√5.

y cannot be factored.  It stays under the radical.

A³ can be factored into A² (a perfect square) and A.

Thus,

-3√(45yA³) = -3 · 3√5 · √y · A · √A, or

                   = (-3)(3)(A) · √(5yA), or

                    = -9A · √(5yA)

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