Question 343250
(~3:(108)-~3:(32))

Pull all perfect cube roots out from under the radical.  In this case, remove the 3 because it is a perfect cube.
(3~3:(4)-~3:(32))

Pull all perfect cube roots out from under the radical.  In this case, remove the 2 because it is a perfect cube.
(3~3:(4)-2~3:(4))

Since 3~3:(4) and -2~3:(4) are like terms, add -2~3:(4) to 3~3:(4) to get ~3:(4).
(~3:(4))

Remove the parentheses around the expression ~3:(4).
~3:(4)

The approximate value of (~3:(108)-~3:(32)) is 1.59.
1.59

or (could not determine whether your 3 was a numeric value of the nth root or appeared as:


(3~(108))-3~(32)

Pull all perfect square roots out from under the radical.  In this case, remove the 6 because it is a perfect square.
((3*6~(3)))-3~(32)

Multiply 3 by 6 to get 18.
((18)~(3))-3~(32)

Remove the parentheses around the expression 18.
(18~(3))-3~(32)

Pull all perfect square roots out from under the radical.  In this case, remove the 4 because it is a perfect square.
(18~(3))+(-3*4~(2))

Multiply -3 by 4 to get -12.
(18~(3))+(-12)~(2)

Remove the parentheses around the expression -12.
(18~(3))-12~(2)

Remove the parentheses around the expression 18~(3).
18~(3)-12~(2) wavy line stands for square root