First, let's simplify the expression:
(√5-2)(3√5-2= 3√5(√5) - 2(√5) - 6√5 + = 3(5) - 2(√5) - 6(√5) + = 15 - 2√5 - 6√5 + = 19 - 8√5
Next, let's evaluate the second part of the expression:
(√43)^= 1
So, the final answer is 19 - 8√5 + 1 = 20 - 8√5.
First, let's simplify the expression:
(√5-2)(3√5-2
= 3√5(√5) - 2(√5) - 6√5 +
= 3(5) - 2(√5) - 6(√5) +
= 15 - 2√5 - 6√5 +
= 19 - 8√5
Next, let's evaluate the second part of the expression:
(√43)^
= 1
So, the final answer is 19 - 8√5 + 1 = 20 - 8√5.