Question

Помогите пожалуйста решить, математика

Answer 1

$1121.;a);sqrt[3]{8cdot27}=sqrt[3]8cdotsqrt[3]{27}=2cdot3=6\b);sqrt[4]{16cdot0,0001}=sqrt[4]{16}cdotsqrt[4]{0,0001}=2cdot0,1=0,2\\1122.;a);sqrt[5]{243cdotfrac1{32}}=sqrt[5]{243}cdotsqrt[5]{frac1{32}}=3cdotfrac12=frac32=1frac12\b);sqrt[3]{frac8{125}}=frac{sqrt[3]8}{sqrt[3]{125}}=frac25\\1123.;a);sqrt[3]{24cdot9}=sqrt[3]{8cdot3cdot9}=sqrt[3]{8cdot27}=sqrt[3]8cdotsqrt[3]{27}=2cdot3=6$
$b);sqrt[5]{48cdot162}=sqrt[5]{6cdot8cdot4cdot40,5}=sqrt[5]{32cdot243}=sqrt[5]{32}cdotsqrt[5]{243}=2cdot3=6\1124.;a);sqrt[4]{frac{125}{0,2}}=sqrt[4]{625}=5\b);sqrt[4]{frac{16}{0,0625}}=frac{sqrt[4]{16}}{sqrt[4]{0,0625}}=frac2{0,5}=4\1125.;a);sqrt[3]{5^6cdot2^9}=5^2cdot2^3=25cdot8=200\b);sqrt[5]{0,2^{10}cdot10^{10}}=0,2^2cdot10^2=0,04cdot100=4$