Respuesta :

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

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 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Use~the~formula~for~the~Pythagorean~Theorem:}[/tex]

  • [tex]\bold{a^2+b^2=c^2}[/tex]
  • [tex]\bold{8^2+12^2=c^2}[/tex]

[tex]2.)~Solve~the~powers:[/tex]

  • [tex]\bold{8^2=64}[/tex]
  • [tex]\bold{12^2=144}[/tex]

[tex]3.)~Add:[/tex]

  • [tex]\bold{64+144=208}[/tex]

[tex]4.)~Square~208:[/tex]

  • [tex]\bold{\sqrt{208}=14.4222051}[/tex]

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 [tex]\bold{Answer:}[/tex]

  • [tex]\bold{Simplest~Radical~Form: \boxed{\sqrt{208}=4\sqrt{13}.}}[/tex]
  • [tex]\bold{Decimal~Form:\boxed{14.4222051.}}[/tex]

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 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Use~the~formula~for~the~Pythagorean~Theorem:}[/tex]

  • [tex]\bold{a^2+b^2=c^2}[/tex]
  • [tex]\bold{a^2+12^2=13^2}[/tex]

[tex]2.)~Solve~the~powers:[/tex]

  • [tex]\bold{12^2=144}[/tex]
  • [tex]\bold{13^2=169}[/tex]

[tex]3.)~Subtract~144~on~each~side:[/tex]

  • [tex]\bold{144-144=Cancels~out}[/tex]
  • [tex]\bold{169-144=25}[/tex]

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 [tex]\bold{Answer:}[/tex]

  • [tex]\bold{Exact~Form:\boxed{25^2.}}[/tex]

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 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]

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