Nested Roots Problem

Algebra Level 3

Round x x to the nearest ones place: ( 9 7 9 7 3 3 3 3 ) 3 + ( 8 6 8 6 4 4 4 4 ) 2 = x \left (\sqrt[3]{9\sqrt[3]{7\sqrt[3]{9\sqrt[3]{7\cdots}}}} \right )^{3}+\left (\sqrt[4]{8\sqrt[4]{6\sqrt[4]{8\sqrt[4]{6\cdots}}}} \right )^{2}=x


First off, I must give credit for inspiring this problem to Nxin Nasn, whose original problem is here .


The answer is 28.

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1 solution

Drex Beckman
Feb 6, 2016

So again, thanks to @Nxin Nasn for his original problem, it was really informative for me. As far as the solution, @Akshat Sharda brought up a pretty simple method of solving it, along with my method on the note I made here .

i got 28 too,can you explain how you got your answer.i even tried using a calculator to check my answer and still got 28

Hamza A - 5 years, 4 months ago

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Yeah, you are right, @Hummus a , sorry. I subtracted them, for some reason. I apoligize, that was my fault.

Drex Beckman - 5 years, 4 months ago

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report the problem if you want to change the answer and put the same problem there.Brilliant staff will respond in less than a day or so.

Hamza A - 5 years, 4 months ago

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@Hamza A Cool, thanks!

Drex Beckman - 5 years, 4 months ago

but how your answer came? mine is 28

sakshi rathore - 5 years, 4 months ago

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Haha, I am a moron, and subtracted instead of added, sorry, I really should have checked twice before submitting. I reported it, so they should change it soon. Thanks for pointing the problem out. :)

Drex Beckman - 5 years, 4 months ago

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