Question

Решите 1) (√13-14)(14+√13) 2) (√8-√2)^2

Answer 1

1)(√13) (в квадрате)-196=13-196=183
2) (√8)(в квадр.) - 2*√8*√2 + (√2)(в квадр.)
     8 - 2*√16 + 2 = 8 - 2*4 + 2 = 2

Answer 2

Sure, let's solve the given expressions:

1. (√13 - 14)(14 + √13)

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

In our case: a = 14 b = √13

(√13 - 14)(14 + √13) = (14)^2 - (√13)^2 = 196 - 13 = 183

So, the result is 183.

2. (√8 - √2)^2

To simplify this expression, we'll first expand it using the square of a binomial formula, which states that (a - b)^2 = a^2 - 2ab + b^2.

In our case: a = √8 b = √2

(√8 - √2)^2 = (√8)^2 - 2(√8)(√2) + (√2)^2 = 8 - 2√16 + 2 = 8 - 2(4) + 2 = 8 - 8 + 2 = 2

So, the result is 2.