Expanding the expressions:
(1-√5)^2 = (1-√5)(1-√5)= 1 - √5 - √5 + 5= 6 - 2√5
(3-2√5)^2 = (3-2√5)(3-2√5)= 9 - 6√5 - 6√5 + 20= 29 - 12√5
So, the given expression becomes:
(6 - 2√5) + √(29 - 12√5)= 6 - 2√5 + √(29 - 12√5)
Since the square root of (29 - 12√5) does not simplify to a simple radical, this expression is the most simplified form.
Expanding the expressions:
(1-√5)^2 = (1-√5)(1-√5)
= 1 - √5 - √5 + 5
= 6 - 2√5
(3-2√5)^2 = (3-2√5)(3-2√5)
= 9 - 6√5 - 6√5 + 20
= 29 - 12√5
So, the given expression becomes:
(6 - 2√5) + √(29 - 12√5)
= 6 - 2√5 + √(29 - 12√5)
Since the square root of (29 - 12√5) does not simplify to a simple radical, this expression is the most simplified form.