Question

a)5 racionalizar las siguientes expresiones literal 5 raíz cuadrada de 8
2
$5 \sqrt{8 \fr \times \frac{?}{?} }{?} }$
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Answer 1

Respuesta:

hjj

Explicación paso a paso:

c3xc3c3c4v5h5g3c2c2c2c

Answer 2

Respuesta:

a) 10

b) $\sqrt{6}$

c) $12$

d) $5\sqrt[6]{2}$

Explicación paso a paso:

a)                                                              

   $\cfrac{5\sqrt{8}}{\sqrt{2}}~=\cfrac{5\sqrt{8}}{\sqrt{2}}*\cfrac{\sqrt{2}}{\sqrt{2}}~=\cfrac{5\sqrt{8}*\sqrt{2}}{\sqrt{2}*\sqrt{2}}~=\cfrac{5\sqrt{8*2}}{\sqrt{2*2}}~=\cfrac{5\sqrt{16}}{\sqrt{4}}=\cfrac{5(4)}{2}=5*2=10$                                              

b)

   $\cfrac{6}{\sqrt{6}}~=\cfrac{6}{\sqrt{6}}*\cfrac{\sqrt{6}}{\sqrt{6}}~=\cfrac{6*\sqrt{6}}{\sqrt{6}*\sqrt{6}}~=\cfrac{6\sqrt{6}}{\sqrt{6*6}}~=\cfrac{6\sqrt{6}}{\sqrt{36}}~=\cfrac{6\sqrt{6}}{6}=\sqrt{6}$

c)

   $\cfrac{6\sqrt{12}}{\sqrt{3}}=\cfrac{6\sqrt{12}}{\sqrt{3}}*\cfrac{\sqrt{3}}{\sqrt{3}}~=\cfrac{6\sqrt{12}*\sqrt{3}}{\sqrt{3}*\sqrt{3}~}=\cfrac{6\sqrt{12*3}}{\sqrt{3*3}}~=\cfrac{6\sqrt{36}}{\sqrt{9}}~=\cfrac{6(6)}{3}=2(6)=12$

d)

 $\cfrac{10}{\sqrt[6]{32}}~=\cfrac{10}{\sqrt[6]{32}}*\cfrac{\sqrt[6]{(32)^5}}{\sqrt[6]{(32)^5}}~=\cfrac{10*\sqrt[6]{(32)^5}}{\sqrt[6]{32}*\sqrt[6]{(32)^5}}~=\cfrac{10\sqrt[6]{(32)^5}}{\sqrt[6]{32*(32)^5}}~=\cfrac{10\sqrt[6]{(32)^5}}{\sqrt[6]{32^{1+5}}}~=$

$\cfrac{10\sqrt[6]{(32)^5}}{\sqrt[6]{32^6}}~=\cfrac{10\sqrt[6]{(32)^5}}{32}~=\cfrac{5\sqrt[6]{(32)^5}}{16}~=\cfrac{5\sqrt[6]{(2^5)^5}}{16}~=\cfrac{5\sqrt[6]{(2)^{25}}}{16}$

$\cfrac{5\sqrt[6]{2^6*2^6*2^6*2^6*2}}{16}~=\cfrac{5*2*2*2*2\sqrt[6]{2}}{16}~=\cfrac{5*16*\sqrt[6]{2}}{16}~=5\sqrt[6]{2}$