What is factor (r-9)/(sqrt(r)-3) ?

The solution to factor (r-9)/(sqrt(r)-3) is sqrt(r)+3

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factor (r-9)/(sqrt(r)-3)

factor

\frac{r - 9}{r - 3}

r + 3

Solution steps

\frac{r - 9}{r - 3}

Multiply by the conjugate

\frac{r + 3}{r + 3}

= \frac{( r - 9 ) ( r + 3 )}{( r - 3 ) ( r + 3 )}

(r - 3) (r + 3) = r - 9

= \frac{( r - 9 ) ( r + 3 )}{r - 9}

Cancel the common factor:

r - 9

= r + 3

\frac{- 6 - 3 11}{8}

22 + 6

5^{12} 5^{8}

+ \cdot (- 2)

5 x^{2} - x^{2} + 1

What is factor (r-9)/(sqrt(r)-3) ?
The solution to factor (r-9)/(sqrt(r)-3) is sqrt(r)+3