Question

Сократите дробь 7+3√7/√7​

Answer 1

7 + 3√7/√7 сократим все на √7 = √7 + 3

Answer 2

To simplify the fraction (7 + 3√7) / √7, we need to rationalize the denominator. To do that, we'll multiply both the numerator and the denominator by √7:

[(7 + 3√7) / √7] * [√7 / √7]

Now, let's simplify the expression:

= (7√7 + 3√7^2) / 7 = (7√7 + 3 * 7) / 7 = (7√7 + 21) / 7

Now, we can further simplify the fraction by dividing both the numerator and the denominator by 7:

= 7√7 / 7 + 21 / 7 = √7 + 3

So, the simplified fraction is √7 + 3.