One step you usually want to take is to move any perfect square out of the radical.
Example 1, with numbers: root(12) = root(4x3) = root(4) x root(3) = 2 root(3)
Example 2, with variables: root(y cubed) = root(y squared times y) = root(y squared) times root(y) = y root(y)
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√225 = 15
Radical 147 simplified is 7 radical 3. radical147= radical 49* radical 3 the square root of 49 is 7 therefore the answer is 7 radical 3
3^3*radical(128) = 3^3*radical(2^7) = 3^3*radical(2^6*2) =3^3*2^3*radical(2) = 216*radical(2).
factor the perfect square simplify the perfect root factor out the perfect cube simplify the perfect root √32 = √16 = √8◦2 = 4√2 move 8 out and simplify it to a perfect square
5 root 3