How do I transform this into simple radical form... I have no idea how to do this could you please tell me the logic behind how you do this and step by step thanks

(5^(1/2)-3^(1/2))^2

thanks again

To transform the expression (5^(1/2) - 3^(1/2))^2 into simple radical form, you need to square the expression and then simplify. Here is a step-by-step guide:

Step 1: Square each term inside the parentheses.
(5^(1/2))^2 - 2(5^(1/2))(3^(1/2)) + (3^(1/2))^2

Step 2: Simplify each term inside the parentheses.
5^(1/2) = √5
(√5)^2 = 5

3^(1/2) = √3
(√3)^2 = 3

Step 3: Apply the square to each term.
5 - 2√5√3 + 3

Step 4: Simplify if possible.
The term -2√5√3 can be simplified further. Since √5 and √3 are both under the radical, you can multiply them together and simplify.
-2√5√3 = -2√(5*3) = -2√15

Now, you have the simplified expression:
5 - 2√15 + 3

Step 5: Combine like terms, if possible.
5 + 3 = 8

The final simplified expression is:
8 - 2√15