Mathematics, 13.07.2019 11:00 ryan1kk
Which expression is equivalent to ^4sqrt6/^3sqrt2? 1) ^12sqrt27/2 2) ^4sqrt24/2 3) ^12sqrt55296/2 4) ^12sqrt177147/3
Answers: 1
![\dfrac{\sqrt[4]6}{\sqrt[3]2}=6^\frac{1}{4}:2^\frac{1}{3}=6^\frac{1\cdot3}{4\cdot3}:2^{\frac{1\cdot4}{3\cdot4}}=6^\frac{3}{12}:2^\frac{4}{12}=(6^3)^\frac{1}{12}:(2^4)^\frac{1}{12}\\\\=216^\frac{1}{12}:16^\frac{1}{12}=(216:16)^\frac{1}{12}=\sqrt[12]{\dfrac{216}{16}}=\sqrt[12]{\dfrac{27}{2}}\\\\\text{}\ 1)\ \sqrt[12]{\dfrac{27}{2}}](/tpl/images/0084/5095/351e0.png)
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Which expression is equivalent to ^4sqrt6/^3sqrt2? 1) ^12sqrt27/2 2) ^4sqrt24/2 3) ^12sqrt55296/2 4...
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