Question

5th root of 3 and 15th root of 5 which is greater

Answer 1

Answer:

15 root of 5 is great value of 5 root of 3 is 8.660

and value of 15 root of 5 is 33.54

Answer 2

$\sqrt[5]{3} \: \: , \: \: \sqrt[15]{5}$

${3}^{ \frac{1}{5} } \: \: , \: \: {5}^{ \frac{1}{15} }$

${3}^{ \frac{1}{5} \times \frac{3}{3} } \: \: , \: \: {5}^{ \frac{1}{15} }$

${3}^{ \frac{3}{15} } \: \: , \: \: {5}^{ \frac{1}{15} }$

$( {3}^{3} ) ^{ \frac{1}{15} } \: \: , \: \: {(5)}^{ \frac{1}{15} }$

As the powers are same, we compare the bases

${3}^{3} > 5$

$27 > 5$

Hence,

$\boxed{ \sqrt[5]{3} > \sqrt[15]{5} }$