Ответ:

4 √2 (2 - √5)²

Вроде так.

Объяснение:

4 √2 (9 - 4 √5)

4√2 (√5-2)²

4 sqrt(2/(161 + 72 sqrt(5)))

Simplify the following:

sqrt(32) (2 - sqrt(5))^2

(2 - sqrt(5))^2 = 4 - 2 sqrt(5) - 2 sqrt(5) + 5 = 9 - 4 sqrt(5):

sqrt(32) (9 - 4 sqrt(5))

sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):

2^2 sqrt(2) (9 - 4 sqrt(5))

2^2 = 4:

Answer: |

| 4 sqrt(2) (9 - 4 sqrt(5))