Question

es productos notables por favor con su resolucion.​

Answer 1

Respuesta:

$\bold{C) \: \: \: \sqrt{2}}$

Explicación paso a paso:

Producto notable:

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

Entonces:

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

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

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

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

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

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

$\bold{S=[2- 1](\sqrt{2}) }$

$\bold{S=[1](\sqrt{2}) }$

$\bold{S=\sqrt{2}}$