Which one of these is NOT irrational?A)√(24 / 6) B)log3(6)C)\sqrt[2]{3} + \sqrt[5]{3}D)5\sqrt[3]{8}

Question

which one of these is NOT irrational?A)
`√(24 / 6)` B)
`log3(6)`C)
`\sqrt[2]{3} + \sqrt[5]{3}`D)
`5\sqrt[3]{8}`

Answer 1

We need to find which number is not irrational:

`\begin{gathered} A)\sqrt[]{(24)/(6)}=\sqrt[]{4}=2\Rightarrow NOT\text{ Irrational} \\ B)\log _36=(\log_(10)6)/(\log_(10)3)\approx\text{1}.6309297\Rightarrow Irrational \\ C)2\sqrt[]{3}\cdot5\sqrt[]{3}=10\cdot(\sqrt[]{3})^2=10\cdot3=30\Rightarrow\text{NOT Irrational} \\ D)5\sqrt[3]{8}=5\cdot2=10\Rightarrow NOT\text{ Irrational} \end{gathered}`

The numbers A, C and D are NOT Irrationals.