karenortega687
karenortega687 karenortega687
  • 24-07-2019
  • Mathematics
contestada

Simplify remove all perfect squares from inside the square root 125

Respuesta :

Gasaqui
Gasaqui Gasaqui
  • 30-07-2019

Answer:

[tex]5\sqrt{5}[/tex]

Step-by-step explanation:

We start by factoring 125 and look for a perfect square:

125= 5*5*5=[tex]5^{2} *5[/tex].

This allow us to simplify the radical:

[tex]\sqrt{125} = \sqrt{5^{2} *5}[/tex]

So we have:

[tex]\sqrt{5^{2} *5} =5\sqrt{5}[/tex]

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