Question

solve the following
which is greater

Answer 1

3√3 = 3 x 1.732
        = 5.196
4√4 = 4 x 2
        = 8

Therefore we can say that,
      3√3 <  4√4
i.e. 5.196 < 8

Answer 2

$\sqrt[3]{3} \: and \: \sqrt[4]{4} \\ cube \: both \: sides \\ 3 \: and \: {4}^{ \frac{3}{4} } \\ 3 \: and \: {2}^{ \frac{2 + 1}{2} } \\ 3 \: and \: 2.{2}^{ \frac{1}{2} } \\ square \: both \: sides \\ 9 \: and \: 8 \\ \implies \: 9 > 8 \\ or \\ \sqrt[3]{3} \: > \: \sqrt[4]{4}$
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