wallaceaniya8 wallaceaniya8
  • 14-09-2019
  • Mathematics
contestada

Simplify square root 5×8+3 square root six

Respuesta :

kusidesmo
kusidesmo kusidesmo
  • 14-09-2019

Answer:

[tex] = 2 \sqrt{10} + 3 \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \sqrt{5 \times 8} + 3 \sqrt{6} [/tex]

[tex] = \sqrt{40} + 3 \sqrt{6} [/tex]

[tex]but \: \sqrt{40} = \sqrt{20} \times \sqrt{2} [/tex]

[tex] = \sqrt{4} \times \sqrt{5} \times \sqrt{2} + 3 \sqrt{6} [/tex]

[tex]2 \times \sqrt{5} \times \sqrt{2} + 3 \sqrt{6} [/tex]

[tex] = 2 \sqrt{10} + 3 \sqrt{6} [/tex]

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