Question

(3корень5-корень3)^2/8-корень15

Answer 1

Ответ:  6

Пошаговое объяснение:

46-6корень15+3 / 8-корень15 = 48-6корень15 / 8-корень15 = 6(8-корень15) / 8-корень15 = 6

Answer 2

To simplify the expression:

(3√5 - √3)^2 / 8 - √15

Let's break it down step by step:

Step 1: Square the expression (3√5 - √3)^2: (3√5 - √3)^2 = (3√5)^2 - 2(3√5)(√3) + (√3)^2 = 9 * 5 - 2 * 3 * √15 + 3 = 45 - 6√15 + 3 = 48 - 6√15

Step 2: Substitute the squared expression back into the original expression: (48 - 6√15) / 8 - √15

Step 3: Simplify further: 48 / 8 = 6

(6 - 6√15) - √15

Step 4: Combine like terms: 6 - 7√15

So, the simplified expression is 6 - 7√15.