Question

√180*√750
-----------------
√360
Подробную запись решения!

Answer 1

$frac{sqrt{180}*sqrt{750}}{sqrt{360}} \ frac{2cdot :3sqrt{2}sqrt{3}sqrt{5}cdot :5^{frac{3}{2}}}{3cdot :2^{frac{3}{2}}sqrt{5}} \ frac{2cdot :3cdot :5^2sqrt{2}sqrt{3}}{3cdot :2^{frac{3}{2}}sqrt{5}} \ frac{sqrt{2}sqrt{2}sqrt{3}cdot :5^{frac{3}{2}}}{2} \ frac{sqrt{2}sqrt{2}sqrt{3}cdot :5sqrt{5}}{2} \ frac{10sqrt{3}sqrt{5}}{2} \ 5sqrt{3}sqrt{5}=5sqrt{3cdot :5}=5sqrt{15}$