nicolascrosswhite nicolascrosswhite
  • 05-02-2021
  • Mathematics
contestada

Simplify.
[tex]\sqrt32 + \sqrt16+ \sqrt8[/tex]

Respuesta :

evilhallox
evilhallox evilhallox
  • 05-02-2021

Answer:

[tex]4 + 6 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{32} + \sqrt{16} + \sqrt{8} [/tex]

[tex] \sqrt{32} = \sqrt{4 \times 4 \times 2} = 4\sqrt{2} [/tex]

[tex] \sqrt{16} = \sqrt{4 \times 4} = 4[/tex]

[tex] \sqrt{8} = \sqrt{2 \times 2 \times 2} = 2 \sqrt{2} [/tex]

[tex]4 + 4\sqrt{2} + 2 \sqrt{2} = 4 + 6 \sqrt{2} [/tex]

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