Question

Ayuden por favor, no me sale 2

Answer 1

Respuesta:

$\bold{ P = 1 }$

Explicación paso a paso:

Producto notable:

$\bold{ (a+b)(a-b) = a^2 - b^2 }$

Resolver:

$\bold{ P = [ \red{( \sqrt[8]{2}+1)( \sqrt[8]{2} - 1)} ( \sqrt[4]{2} +1 )(\sqrt{2} + 1 )]^3 }$

$\bold{ P = [( \sqrt[8]{2} ^2 - 1^2 )( \sqrt[4]{2} +1 )(\sqrt{2} + 1 )]^3 }$

$\bold{ P = [\red{( \sqrt[4]{2} - 1 )( \sqrt[4]{2} +1 )} (\sqrt{2} + 1 )]^3 }$

$\bold{ P = [( \sqrt[4]{2}^2 - 1^2 )(\sqrt{2} + 1 )]^3 }$

$\bold{ P = [\red{( \sqrt{2} - 1)(\sqrt{2} + 1 )} ]^3 }$

$\bold{ P = [( \sqrt{2}^2 - 1^2 )]^3 }$

$\bold{ P = [(2 - 1 )]^3 }$

$\bold{ P = [(1)]^3 }$

$\bold{ P = 1 }$