Question

(6+√27)1/2*(6-√27)1/2

Answer 1

½ за скобки.

½(6+√27)(6-√27)

То, что в скобках - разность квадратов.

½(36-27)=4.5

Answer 2

Let's simplify the expression step by step:

First, let's simplify the square roots: √27 = √(3 * 9) = 3√3

Now, we can substitute this back into the expression: (6 + 3√3)^(1/2) * (6 - 3√3)^(1/2)

Now, let's use the difference of squares formula: (a + b) * (a - b) = a^2 - b^2 In this case, a = 6 and b = 3√3: (6^2 - (3√3)^2)^(1/2)

Simplify further: (36 - 27)^(1/2) 9^(1/2)

Since √9 = 3, the final result is: 3