# Re: use a calculator to find all solutions-standard form

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Posted by T.Gracken on September 25, 2002 at 16:14:40:

In Reply to: Re: use a calculator to find all solutions-standard form posted by cavs on September 25, 2002 at 15:59:46:

: : if I use the calculator and hit the cube root of sqrt button then (41), I get apprx. 3.45. I do not understand how 1.857 came about. 1.857 is the right answer but i am still list

depends on the calculator. with a typical scientific calculator, enter 41, then press square root key, then press cuberoot key.

...or, if you have an nth root key, enter 41 then 6th root (since the cube root of a square root is the 6th root.

if none of this works, try changing the roots to fractions: sqrt(x) = x1/2, and cuberoot(x)=x1/3, so

cuberoot of (squareroot of 41) is (411/2)1/3 which = 411/6

now enter 41 [press yx key] then "(1/6) ="

{on graphing calculator enter "41^(1/6) enter"}

hope that helps.

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