+2448 \(2\sqrt[6]{320}-\sqrt[6]{320}-2\sqrt[6]{384}\)
\(3\sqrt[4]{243}+2\sqrt[4]{96}-2\sqrt[4]{6}\)
If you can help me solve one of these I can try the other.
+6248 \(\sqrt[3]{16} = \sqrt[3]{2^4} = 2\sqrt[3]{2} \\ \\ \sqrt[3]{16}+ \sqrt[3]{5}+\sqrt[3]{2} = \\ \\ 2\sqrt[3]{2} +\sqrt[3]{5}+\sqrt[3]{2} = \\ \\ 3\sqrt[3]{2} + \sqrt[3]{5}\)
.
+2448 So sorry, I posted the wrong ones! Turns out I already did those 2. Changed them
+6248 It's all the same idea. Most likely your real problem is you just (like most people) can't see powers of small primes at a glance.
\(2\sqrt[5]{320} - \sqrt[6]{320} - 2\sqrt[5]{384} = \\ 2\sqrt[5]{2^6 \cdot 5}- \sqrt[6]{2^6\cdot 5} - 2\sqrt[5]{2^7\cdot 3}\\ 2\sqrt[5]{2^5\cdot 30}-2\sqrt[6]{5}-2\cdot 2\sqrt[5]{2^2\cdot 3} =\\ 4\sqrt[5]{30}-2\sqrt[6]{5}-4\sqrt[5]{12}\)
