Question

Вычислите:
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Answer 1

$6sqrt[4]{75}-2sqrt{15sqrt{27}}=6sqrt[4]{75}-2sqrt{sqrt{15^2cdot27}}= \ =6sqrt[4]{75}-2sqrt[4]{15^2cdot27}=6sqrt[4]{75}-2sqrt[4]{3^3cdot3^2cdot5^2}= \ =6sqrt[4]{75}-2sqrt[4]{3^4cdot3cdot5^2}=6sqrt[4]{75}-2cdotsqrt[4]{3^4}cdotsqrt[4]{3cdot5^2}= \ =6sqrt[4]{75}-2cdot3sqrt[4]{75}=6sqrt[4]{75}-6sqrt[4]{75}=0$