Question

3-√3/2√3,спростити вираз

Answer 1

Разделим числитель и знаменатель на корень из 3, получим 
(√3-1)/2

Answer 2

To simplify the expression (3 - √3) / (2√3), we'll follow these steps:

Step 1: Rationalize the denominator. Step 2: Simplify the expression further.

Let's go through each step:

Step 1: Rationalize the denominator. To rationalize the denominator, we need to eliminate the square root in the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator. The conjugate of 2√3 is (2√3).

(3 - √3) / (2√3) * (2√3) / (2√3)

Step 2: Simplify the expression. Now, let's simplify the numerator and denominator:

Numerator: (3 - √3) * 2√3 = 6√3 - 2√3 = 4√3

Denominator: (2√3) * (2√3) = 4 * 3 = 12

The simplified expression is:

4√3 / 12

Next, we can further simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4:

(4√3) / 12 = (4/4) * (√3 / 3) = 1 * (√3 / 3) = √3 / 3

So, the fully simplified expression is:

√3 / 3