Question

Please answer quick!!!

Answer 1

The given expression is:

$\frac{ \sqrt[4]{400} }{ \sqrt[4]{5} }$

Since the power of radical is the same, we can combine the numerator and denominator under single radical sign as:

$\sqrt[4]{ \frac{400}{5} } \\ \\ = \sqrt[4]{80}$

80 can be written as product of 16 and 5 and expression can be further simplified as:

$\sqrt[4]{80} \\ \\ = \sqrt[4]{16*5} \\ \\ = \sqrt[4]{16}* \sqrt[4]{5} \\ \\ =2 \sqrt[4]{5}$