Question

Arrange in order ^6√5,^3√3 and √2
plz help​

Answer 1

⁶√5 < √2 < ³√3

Explanation:

Given: ⁶√5, ³√3, √2

`= {5}^{ (1)/(6) } , \: {3}^{ (1)/(3) } , \: {2}^{ (1)/(2) } \\ = {({5}^{ (1)/(6) })}^(6) , \: {({3}^{ (1)/(3) })}^(6) , \: {({2}^{ (1)/(2) })}^(6) \\ = 5, \: {3}^(2) , \: {2}^(3) \\ = 5, \: 9, \: 8 \\ \\ 5 < 8 < 9 \\ = {5}^{ (1)/(6) } < \: {2}^{ (1)/(2) } \: < {3}^{ (1)/(3) } \\`