Question

7корень3-4корень12+корень48​

Answer 1

Думаю, что решается так.

Answer 2

To simplify the expression, let's evaluate each term individually:

1. 7√3: The square root of 3 (√3) cannot be simplified further, so we leave it as is.

2. -4√12: To simplify √12, we need to find the largest perfect square that divides evenly into 12. In this case, it's 4 (4 * 3 = 12). So we can rewrite √12 as √(4 * 3). √(4 * 3) = √4 * √3 = 2√3 Therefore, -4√12 is equal to -4 * 2√3 = -8√3.

3. √48: Similar to √12, we need to find the largest perfect square that divides evenly into 48. In this case, it's 16 (16 * 3 = 48). So we can rewrite √48 as √(16 * 3). √(16 * 3) = √16 * √3 = 4√3

Now, let's combine the simplified terms:

7√3 - 4√12 + √48

= 7√3 - 8√3 + 4√3

= (7 - 8 + 4)√3

= 3√3

Therefore, the simplified expression is 3√3.