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The solution to a radical expression numbers in pictures ​

The solution to a radical expression numbers in pictures ​-example-1
User Lauro
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now, that radical expression above is just the simplification of a longer expression, and that could have been many really, but off the many, this would be one that simplifies like so


\boxed{4\sqrt[4]{65610}~~ - ~~3\sqrt[4]{146410}} \\\\[-0.35em] ~\dotfill\\\\ 4\sqrt[4]{(6561)(10)}~~ - ~~3\sqrt[4]{(14641)(10)}\implies 4\sqrt[4]{(9^4)(10)}~~ - ~~3\sqrt[4]{(11^4)(10)} \\\\\\ 4(9)\sqrt[4]{10}~~ - ~~3(11)\sqrt[4]{10}\implies 36\sqrt[4]{10}~~ - ~~33\sqrt[4]{10}\implies 3\sqrt[4]{10}

User Chris McKelt
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