tammyfisher517 tammyfisher517
  • 01-07-2019
  • Mathematics
contestada

plz Simplify using i. √-15√-4

Respuesta :

gmany
gmany gmany
  • 13-07-2019

Step-by-step explanation:

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{-15}\cdot\sqrt{-4}=\sqrt{(-15)(-4)}=\sqrt{60}=\sqrt{(4)(15)}=\sqrt4\cdot\sqrt{15}=2\sqrt{15}[/tex]

[tex]\text{If the examples are separate.}\\\\\sqrt{-1}=i\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{-15}=\sqrt{(15)(-1)}=\sqrt{15}\cdot\sqrt{-1}=\sqrt{15}\ i\\\\\sqrt{-4}=\sqrt{(4)(-1)}=\sqrt4\cdot\sqrt{-1}=2i[/tex]

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