Question

Сократите дробь: А) √7+7/√7 Б) √15-15/√15 В) (1-√7)^2/√7-4 Г) (1+√2)^2/√3+2√2

Answer 1

Решение задания смотри на фотографии

Answer 2

А)

We can simplify the expression by multiplying both the numerator and the denominator by √7:

(√7 + 7)/√7 = (√7/√7 + 7/√7) = (1 + 7/√7) = (1 + √7)

Б)

We can simplify the expression by multiplying both the numerator and the denominator by √15:

(√15 - 15)/√15 = (√15/√15 - 15/√15) = (1 - 15/√15) = (1 - √15)

В)

We can simplify the expression by expanding the numerator and then simplifying:

[(1 - √7)(1 - √7)]/(√7 - 4) = (1 - 2√7 + 7)/(√7 - 4) = (8 - 2√7)/(√7 - 4)

Г)

We can simplify the expression by expanding the numerator and then simplifying:

[(1 + √2)(1 + √2)]/(√3 + 2√2) = (1 + 2√2 + 2)/(√3 + 2√2) = (3 + 2√2)/(√3 + 2√2)

We cannot simplify this any further.