Question

Which is equivalent to 3 square root 8^1/4?
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Answer 1

`a^(m)/(n)=\sqrt[n]{a^m}\\\\(a^n)^m=a^(nm)\\\\3\sqrt{8^(1)/(4)}=3\cdot\sqrt(2^3)^(1)/(4)}=3\sqrt{2^{3\cdot(1)/(4)}}=3\sqrt{2^(3)/(4)}=3\cdot\left(2^(3)/(4)\right)^(1)/(2)\\\\=3\cdot2^{(3)/(4)\cdot(1)/(2)}=3\cdot2^(3)/(8)\\\\\text{Answer:}\\3\cdot2^(3)/(8)=3\sqrt[8]{2^3}=3\sqrt[8]8`