Question

So sánh

\(\sqrt[3]{5\sqrt{2}-7}\) và \(\sqrt{2}\)

Answer 1

\(\sqrt[3]{5\sqrt{2}-7}=\sqrt{2}-1< \sqrt{2}\)

Answer 2

\(\left(\sqrt[3]{5\sqrt{2}-7}\right)^3=5\sqrt{2}-7;\left(\sqrt{2}\right)^3=2\sqrt{2}.Xet:2\sqrt{2}-5\sqrt{2}+7=7-3\sqrt{2}>7-3.2=1>0\Rightarrow\sqrt{2}>\left(\sqrt[3]{5\sqrt{2}-7}\right)\)

Answer 3

Trần Thanh PhươngDuong Lesvtkvtmtth