Ҳисоб кунед:

\(\sqrt[3]{999700029999}\)

\(\sqrt[3]{999700029999}=\sqrt[3]{999\cdot10^9+7\cdot10^8+2\cdot10^4+9999}=\)

\(=\sqrt[3]{(10^3-1)\cdot10^9+7\cdot10^8+2\cdot10^4+10^4-1}=\)

\(=\sqrt[3]{10^{12}-10^9+7\cdot10^8+3\cdot10^4-1}=\)

\(=\sqrt[3]{10^{12}-10^8\cdot(10-7)+3\cdot10^4-1}=\)

\(=\sqrt[3]{10^{12}-3\cdot10^8+3\cdot10^4-1}=\)

\(=\sqrt[3]{(10^{4}-1)^3}=\)

\(=10^4-1=\)

\(=9999\)

\(\sqrt[3]{999700029999}=9999\)

Ҷавоб: 9999.