Question

(√40+4)в квадрате -8×√40

Answer 1

(√40+4)²-8*√40=
=√40²+8√40+16-8√40=
=40+16√10+16-16√10=
=56

Answer 2

Let's break this expression down into smaller parts to simplify it:

1. √40 = √(4 x 10) = √4 x √10 = 2√10

2. (√40 + 4)² = (√40)² + 2 x √40 x 4 + 4² = 40 + 16√10 + 16 = 56 + 16√10

Now, substituting the value of √40 in the expression, we get:

(√40 + 4)² - 8 x √40

= (2√10 + 4)² - 8 x 2√10 (substituting √40 with 2√10)

= (2√10)² + 2 x 2√10 x 4 + 4² - 16√10

= 40 + 16√10 + 16 - 16√10

= 56

Therefore, (√40 + 4)² - 8 x √40 = 56.