Question

³√6*⁴√216/¹²√6 решите пожалуйста, срочно

Answer 1

Решение

$sqrt[3]{6^{4}}*frac{sqrt{216}}{sqrt[12]{6}}$

$6sqrt[3]{6}*frac{6sqrt{6}}{sqrt[12]{6}}$

$frac{36sqrt[3]{6}*sqrt{6}}{sqrt[12]{6}}$

$frac{36sqrt[6]{6^{2}}*sqrt[6]{6^{3}}}{sqrt[12]{6}}$

$frac{36sqrt[6]{6^{2}*6^{3}}}{sqrt[12]{6}}$

$frac{36sqrt[6]{6^{5}}}{sqrt[12]{6}}$

$frac{36sqrt[6]{7776}}{sqrt[12]{6}}$

$frac{36sqrt[6]{7776}*sqrt[12]{6^{11}}}{6}$

$6sqrt[6]{7776}*sqrt[12]{6^{11}}$

$6sqrt[12]{7776^{2}}*sqrt[12]{6^{11}}$

$6sqrt[12]{7776^{2}*6^{11}}$

$6sqrt[12]{(6^{5})^{2}*6^{11}}$

$6sqrt[12]{6^{10}*6^{11}}$

$6sqrt[12]{6^{21}}$

$6sqrt[4]{6^{7}}$

$6*6sqrt[4]{6^{3}}$

$36sqrt[4]{6^{3}}$

$36sqrt[4]{216}$

Ответ

$138,1$