KeerthanaPosted on Which value among 83,42,646\sqrt[3]{8}, \sqrt[2]{4}, \sqrt[6]{64}38,24,664 is greatest? a83\sqrt[3]{8}38 b42\sqrt[2]{4}24 c646\sqrt[6]{64}664 dAll are equal Answer : Option DExplanation : 83=(23)13=2\sqrt[3]{8}=\left(2^{3}\right)^{\frac{1}{3}}=238=(23)31=2 42=(22)12=2\sqrt[2]{4}=\left(2^{2}\right)^{\frac{1}{2}}=224=(22)21=2 646=(26)16=2\sqrt[6]{64}=\left(2^{6}\right)^{\frac{1}{6}}=2664=(26)61=2 ∴83=42=646\therefore \sqrt[3]{8}=\sqrt[2]{4}=\sqrt[6]{64}∴38=24=664 Rate This:NaN / 5 - 1 votesAdd comment