What is (x-3)/(sqrt(x)-\sqrt{3)} ?

The solution to (x-3)/(sqrt(x)-\sqrt{3)} is sqrt(x)+sqrt(3)

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simplify (x-3)/(sqrt(x)-\sqrt{3)}

simplify

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

x + 3

Solution steps

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

Multiply by the conjugate

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

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

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

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

Cancel the common factor:

x - 3

= x + 3

x^{3}, 3 x - 2

y = \frac{27}{x ^{2} + 9}, (- 3, \frac{3}{2})

x \to \infty + lim (3 x^{2} - 8)

f (x) = (\frac{1}{4} x)^{3}

\frac{d}{d x} ((tan (x))^{2})

What is (x-3)/(sqrt(x)-\sqrt{3)} ?
The solution to (x-3)/(sqrt(x)-\sqrt{3)} is sqrt(x)+sqrt(3)