Question

√12*(√3+2) - 2√3 как решить?

Answer 1

Ответ:

$6 + 2 \sqrt{ 3}$

Пошаговое объяснение:

$\sqrt{12} ( \sqrt{3} + 2) - 2 \sqrt{3} \ \\ \ \\ 2 \sqrt{ 3} ( \sqrt{3} + 2) - 2 \sqrt{3} = \\ \\ \\ 6 + 4\sqrt{3} - 2 \sqrt{3} = \\ \\ \\ 6 + 2 \sqrt{3}$

Answer 2

To simplify the expression √12 * (√3 + 2) - 2√3, follow these steps:

Step 1: Simplify inside the parentheses (√3 + 2): √12 * (√3 + 2) - 2√3 = √12 * (√3) + √12 * (2) - 2√3

Step 2: Calculate the values: √12 = √(4 * 3) = √4 * √3 = 2 * √3

Step 3: Substitute the values back into the expression: √12 * (√3 + 2) - 2√3 = (2 * √3) * (√3) + (2 * √3) * (2) - 2√3

Step 4: Continue simplifying: = 2 * 3 + 2 * 2√3 - 2√3 = 6 + 4√3 - 2√3

Step 5: Combine like terms: = 6 + (4 - 2)√3 = 6 + 2√3

The simplified expression is 6 + 2√3.