Question

A) (7√5-2√2) √5 + √40​

Answer 1

Ответ:35

Объяснение: $35-2\sqrt10+40\\35-2\sqrt10+2\sqrt10\\= 35$

Answer 2

To simplify the expression (7√5 - 2√2) √5 + √40, let's break it down step by step:

First, let's simplify the terms within the parentheses: (7√5 - 2√2) √5.

Distribute the √5 to both terms inside the parentheses:

(7√5) √5 - (2√2) √5.

This simplifies to:

7√5 * √5 - 2√2 * √5.

Next, simplify the square roots:

7√(55) - 2√(25).

This simplifies to:

7√25 - 2√10.

Now, evaluate the square root of 25:

7 * 5 - 2√10.

This further simplifies to:

35 - 2√10.

Finally, add the last term: √40.

We can simplify √40 as √(4*10), which becomes 2√10.

Therefore, the expression (7√5 - 2√2) √5 + √40 simplifies to:

35 - 2√10 + 2√10.

The √10 terms cancel out, resulting in:

So the simplified expression is 35.