Question

Обчислити
$sqrt[4]{512}* sqrt{8}*sqrt[4]{2}$

$sqrt[3]{108*128} - sqrt[4]{8*162}$
Спростити
$x^{sqrt{2} }*x^{1.5} /sqrt[4]{x^{4sqrt{2} } }$

Answer 1

Ответ:

Объяснение:

$sqrt[4]{512} *sqrt{8}*sqrt[4]{2} =sqrt[4]{512} *sqrt[4]{8} *sqrt[4]{8}* sqrt[4]{2} =sqrt[4]{512*8} *sqrt[4]{8*2} =\=sqrt[4]{8^{3}*8 } *sqrt[4]{16} =sqrt[4]{8^{4} } *sqrt[4]{2^{4} } =8*2=16.\\sqrt[3]{108*128}-sqrt[4]{8*162}=sqrt[3]{108*2*64} -sqrt[4]{8*2*81}=\=sqrt[3]{256*64} -sqrt[]{16*81} =sqrt[3]{6^{3} *4^{3} }-sqrt[4]{2^{4}*3^{4} } =6*4-2*3=24-6=18.$