Question

Сократите дробь: 25 - b / √5 + 5

Answer 1

26*5         2*1            2

---------- = ------------ = --------

25*13        5*1            5

тут дроби сократились, подзиелив 5 на 5 и 25 на 5;  

а также 13:13 и 26:13

удачи!

Answer 2

To simplify the fraction (25 - b) / (√5 + 5), we need to rationalize the denominator.

The rationalization process involves multiplying both the numerator and denominator by the conjugate of the denominator. The conjugate of (√5 + 5) is (√5 - 5).

So, multiplying the fraction by (√5 - 5) / (√5 - 5), we get:

(25 - b) / (√5 + 5) * (√5 - 5) / (√5 - 5)

Now, let's simplify the numerator and denominator separately:

Numerator: (25 - b) * (√5 - 5) = 25√5 - 25b - 5√5 + 5b = (25√5 - 5√5) + (-25b + 5b) = 20√5 - 20b.

Denominator: (√5 + 5) * (√5 - 5) = √5 * √5 - 5√5 + 5√5 - 25 = 5 - 25 = -20.

Now, the simplified fraction is:

(20√5 - 20b) / -20

We can further simplify it by dividing both the numerator and denominator by -20:

(20√5 - 20b) / -20 = (20/20) * (√5 - b) = √5 - b.

So, the simplified form of the fraction is √5 - b.