√20 = x√x
Square both sides: ( √20 )² = ( x√x )²
20 = x² · x
20 = x ^ 3
Take the cube root of both sides: (One way to write "cube root" is "^ (1/3)".)
(20) ^ (1/3) = (x ^ 3) ^ (1/3)
Therefore, x = (20) ^ (1/3).
Note: ( x√x )² = ( x · √x )² = ( x )² · ( √x )² = x² · x = x ^ 3
√20 = x√x
Square both sides: ( √20 )² = ( x√x )²
20 = x² · x
20 = x ^ 3
Take the cube root of both sides: (One way to write "cube root" is "^ (1/3)".)
(20) ^ (1/3) = (x ^ 3) ^ (1/3)
Therefore, x = (20) ^ (1/3).
Note: ( x√x )² = ( x · √x )² = ( x )² · ( √x )² = x² · x = x ^ 3