Question

Скоротить дроб x-9/√x-3

Answer 1

Ответ:

Объяснение:

$\displaystyle \[\frac{{x-9}}{{\sqrt x-3}}=\frac{{(\sqrt x+3)(x-9)}}{{(\sqrt x+3)(\sqrt x-3)}}= \frac{{(\sqrt x+3)(x-9)}}{{{{(\sqrt x)}^2}-{3^2}}}=\frac{{(\sqrt x+3)(x-9)}}{{x-9}}=\boxed{\sqrt {x}+3}\]$

Answer 2

Ответ: ниже

Объяснение: на фото

Answer 3

To simplify the fraction x-9/√x-3, we need to find a common denominator. First, let's simplify the square root term √x-3. Since there is no square root in the numerator, we can simplify the denominator by multiplying both the numerator and denominator by the conjugate of the denominator. The conjugate of √x - 3 is √x + 3. Thus, the simplified form of the denominator is (√x - 3)(√x + 3), which is equal to x - 9. Now, our fraction becomes (x - 9)/(x - 9). In general, any fraction where the numerator is equal to the denominator is equal to 1. So, the simplified form of x - 9/√x - 3 is 1.