lopezleonel1415 lopezleonel1415
  • 07-01-2020
  • Mathematics
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Sqr root 8+3 Sqr root 2+ Sqr root 32 simplest form

Respuesta :

Matheng
Matheng Matheng
  • 07-01-2020

Answer:

[tex]9\sqrt{2} [/tex]

Step-by-step explanation:

The given question is :

[tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]

8 = 4 * 2

32 = 16 * 2

[tex]\sqrt{8} =\sqrt{4*2} = 2\sqrt{2} \\\sqrt{32} =\sqrt{16*2} =4\sqrt{2}[/tex]

∴ [tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]

= [tex]2\sqrt{2} +3\sqrt{2} +4\sqrt{2} [/tex]

= [tex]9\sqrt{2} [/tex]

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