Practicing Success
Which of the following is greatest ? |
\(\sqrt {2}\) \(\sqrt[3]{3}\) \(\sqrt[4]{4}\) \(\sqrt[6]{6}\) |
\(\sqrt[3]{3}\) |
(2)\(\frac{1}{2}\) (3)\(\frac{1}{3}\) (4)\(\frac{1}{4}\) (6)\(\frac{1}{6}\) Make the power equals to check the biggest value: a) (26)\(\frac{1}{2\;×\;6}\) = (64)\(\frac{1}{12}\) b) (34)\(\frac{1}{3\;×\;4}\) = (81)\(\frac{1}{12}\) c) (43)\(\frac{1}{4 × 3}\) = (64)\(\frac{1}{12}\) d) (62)\(\frac{1}{6\;×\;2}\) = (36)\(\frac{1}{12}\) Here, Option (b) : 3\(\sqrt {3}\) is the biggest value. |