Question

(8 - 2√15)(√5 + √3)^2​

Answer 1

Ответ:

4

Пошаговое объяснение:

Answer 2

To simplify the expression (8 - 2√15)(√5 + √3)^2, we can follow these steps:

Step 1: Expand (√5 + √3)^2 using the formula (a + b)^2 = a^2 + 2ab + b^2. (√5 + √3)^2 = (√5)^2 + 2(√5)(√3) + (√3)^2 = 5 + 2√15 + 3 = 8 + 2√15

Step 2: Multiply (8 - 2√15) by (8 + 2√15) using the formula (a - b)(a + b) = a^2 - b^2. (8 - 2√15)(8 + 2√15) = 8^2 - (2√15)^2 = 64 - 4(15) = 64 - 60 = 4

Therefore, the simplified expression is 4.