tsallen23
tsallen23 tsallen23
  • 10-05-2022
  • Mathematics
contestada

[tex]\left(4+\sqrt{6}\right)\left(10+\sqrt{6}\right)[/tex]

Respuesta :

chetankachana
chetankachana chetankachana
  • 10-05-2022

Answer:

[tex]46 + 14\sqrt6[/tex]

Step-by-step explanation:

Hello!

Multiply by distributing:

  • [tex](4 + \sqrt6)(10 + \sqrt 6)[/tex]

  • [tex]4(10 + \sqrt 6) + \sqrt6 (10 + \sqrt6)[/tex]           Distribute 4 + √6

  • [tex]40 + 4\sqrt6 + 10\sqrt6 + \sqrt {36[/tex]               Multiply

  • [tex]40 + 14\sqrt6 + 6\\[/tex]                              Simplify

  • [tex]46 + 14\sqrt6[/tex]                                   Simplify

The final answer is 46 + 14√6

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