Question

(11−3√6)⋅(11+3√6) решите пж

Answer 1

$(11 - 3 \sqrt{6} )(11 + 3 \sqrt{6} ) = 11 - 9 \times 6 = 11 - 54 = - 43$

Answer 2

To simplify the expression (11 - 3√6) ⋅ (11 + 3√6), we can use the difference of squares formula, which states that (a - b) ⋅ (a + b) = a^2 - b^2.

In this case, a = 11 and b = 3√6. Now, let's calculate it step by step:

1. Calculate the squares of the terms inside the brackets: (11)^2 = 121 (3√6)^2 = (3^2) * (√6)^2 = 9 * 6 = 54

2. Now, apply the difference of squares formula: (11 - 3√6) ⋅ (11 + 3√6) = 11^2 - (3√6)^2 = 121 - 54 = 67

So, the simplified expression is 67.