SOLUTION: Simplify (⁴√[5+2√2]) + (⁴√[5-2√2])

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify (⁴√[5+2√2]) + (⁴√[5-2√2])      Log On


   

Question 1187231: Simplify (⁴√[5+2√2]) + (⁴√[5-2√2])
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


I very much doubt that this expression can be "simplified" to a single term involving roots.

Some messy algebra can be used to get part way to a simplified form; but in the end the use of a calculator or some numerical method is needed to get an approximate decimal answer.

So we might as well evaluate the original expression on a calculator....

ANSWER: %285%2B2sqrt%282%29%29%5E%281%2F4%29%2B%285-2sqrt%282%29%29%5E%281%2F4%29 = 2.886632 to 6 decimal places.