Question

(7√5 - 2√2) * √5 + √40 надо решить

Answer 1

Ответ:

35

..................

Объяснение:

35-2√10 +2√10

Answer 2

To solve the expression (7√5 + 2√2) * √5 + √40, we can follow these steps:

Step 1: Simplify the square roots - Simplify √5 and √40 separately. - √5 is already in its simplest form. - √40 can be simplified as √(4 * 10) = √4 * √10 = 2√10.

Step 2: Substitute the simplified square roots back into the expression - Replace √5 with its simplified form, which is still √5. - Replace √40 with its simplified form, which is 2√10. - The expression becomes (7√5 + 2√2) * √5 + 2√10.

Step 3: Distribute the multiplication - Multiply each term inside the parentheses by √5. - (7√5 * √5) + (2√2 * √5) + (2√10 * √5) + (2√10).

Step 4: Simplify the square roots again - √5 * √5 = √(5 * 5) = √25 = 5. - √2 * √5 = √(2 * 5) = √10. - √10 * √5 = √(10 * 5) = √50 = 5√2.

Step 5: Substitute the simplified square roots back into the expression - The expression becomes (7 * 5) + (2√10) + (5√2) + (2√10).

Step 6: Simplify the multiplication - 7 * 5 = 35.

Step 7: Combine like terms - The expression becomes 35 + (2√10) + (5√2) + (2√10).

Step 8: Combine the square root terms - (2√10) + (2√10) = 4√10. - (5√2) remains the same.

Step 9: Final answer - The expression simplifies to 35 + 4√10 + 5√2.

Therefore, the solution to the expression (7√5 + 2√2) * √5 + √40 is 35 + 4√10 + 5√2.