Question

Third root of 5×third root of 25

Answer 1

Hi ,

cubeth root of 5 × cubeth root of 25

= 5^1/3 × ( 25 )^1/3

= 5^1/3 × ( 5² )^1/3

= 5^1/3 × 5^2/3

= 5^1/3+2/3

= 5^3/3

= 5

I hope this helps you.

: )

Answer 2

$\sqrt[3]{5} \times \sqrt[3]{25} \\ \\ {5}^{ \frac{1}{3} } \times {25}^{ \frac{1}{3} } \\ \\ {5}^{ \frac{1}{3} } \times {5}^{2 \times \frac{1}{3} } \\ \\ \\ {5}^{ \frac{1}{3} } \times {5}^{ \frac{2}{3} } \\ \\ {5}^{ \frac{1}{3} + \frac{2}{3} } \\ \\ {5}^{ \frac{1 + 2}{3} } \\ \\ {5}^{ \frac{3}{3} }$
5¹

=> 5


I hope this will help you


-by ABHAY