Question

Зия: (4√5-2√2) √5 +√40. ​

Answer 1

Решение на прикреплённой фотографии

Answer 2

To simplify the expression, let's break it down step by step:

1. Start with the given expression: (4√5 - 2√2)√5 + √40.

2. Distribute the √5 to each term within the parentheses: (4√5)(√5) - (2√2)(√5) + √40.

3. Simplify each term:

   • (4√5)(√5) = 4√(5)√(5) = 4√(5*5) = 4√25 = 4 * 5 = 20.
   • (2√2)(√5) = 2√(2)√(5) = 2√(2*5) = 2√10.
   • √40 can be simplified as √(4*10) = √4√10 = 2√10.

4. Now substitute the simplified terms back into the expression:

   20 - 2√10 + 2√10.

5. Notice that the term -2√10 and +2√10 cancel each other out, resulting in 0.

Therefore, the final simplified form of the expression (4√5 - 2√2)√5 + √40 is 20.