Question

Which expression is equivalent to ^4sqrt6/^3sqrt2?

1) ^12sqrt27/2
2) ^4sqrt24/2
3) ^12sqrt55296/2
4) ^12sqrt177147/3

Answer 1

A!!!!!

Explanation:

Answer 2

`(\sqrt[4]6)/(\sqrt[3]2)=6^(1)/(4):2^(1)/(3)=6^(1\cdot3)/(4\cdot3):2^{(1\cdot4)/(3\cdot4)}=6^(3)/(12):2^(4)/(12)=(6^3)^(1)/(12):(2^4)^(1)/(12)\\\\=216^(1)/(12):16^(1)/(12)=(216:16)^(1)/(12)=\sqrt[12]{(216)/(16)}=\sqrt[12]{(27)/(2)}\\\\\text{Answer:}\ 1)\ \sqrt[12]{(27)/(2)}`