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

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Posted by cavs on September 26, 2002 at 09:19:47:

In Reply to: Re: use a calculator to find all solutions-standard form posted by T.Gracken on September 25, 2002 at 16:14:40:

:
: : : 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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