Question

(√22+√15)²-(√10+√33)²

Answer 1

Ответ:

-6.

Объяснение:

(√22+√15)²-(√10+√33)² =

= (22+2*√330+15)-(10+2*√330+33) =

= 22+15-10-33 =

= -6.

Answer 2

To simplify the expression (√22+√15)² - (√10+√33)², let's break it down step by step.

1. Expand the first square: (√22+√15)² = (√22+√15)(√22+√15) = (√22)² + 2(√22)(√15) + (√15)² = 22 + 2√330 + 15 = 37 + 2√330

2. Expand the second square: (√10+√33)² = (√10+√33)(√10+√33) = (√10)² + 2(√10)(√33) + (√33)² = 10 + 2√330 + 33 = 43 + 2√330

3. Subtract the second square from the first square: (√22+√15)² - (√10+√33)² = (37 + 2√330) - (43 + 2√330) = 37 + 2√330 - 43 - 2√330 = -6

Therefore, (√22+√15)² - (√10+√33)² simplifies to -6.