Question

(4+2√2)² - 2√32 упростите выражение​

Answer 1

Объяснение:

$(4+2\sqrt{2})^2 -2\sqrt{32}=4^2+2*4*2\sqrt{2}+(2\sqrt{2})^2-2\sqrt{16*2} =\\\\=16+16\sqrt{2} +2^2(\sqrt{2})^2 -2*4*\sqrt{2}=16+16\sqrt{2} +8-8\sqrt{2}=\\\\ =24+8\sqrt{2} =8*(3+\sqrt{2}).$