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]{ (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}`