What is (x-9)/(sqrt(x)-3) ?

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

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simplify (x-9)/(sqrt(x)-3)

simplify

\frac{x - 9}{x - 3}

x + 3

Solution steps

\frac{x - 9}{x - 3}

Multiply by the conjugate

\frac{x + 3}{x + 3}

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

(x - 3) (x + 3) = x - 9

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

Cancel the common factor:

x - 9

= x + 3

\frac{x ^{2} - 9}{x ^{2} + 6 x + 9} \cdot \frac{3 x + 9}{3 x - 9}

lo g_{3} (3 \frac{1}{2})

a + a + a + a

\frac{1}{- \frac{2}{3}}

(f + g) (3)