What is factor 1/(2+sqrt(x-2)) ?

The solution to factor 1/(2+sqrt(x-2)) is (2-sqrt(x-2))/(-x+6)

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factor 1/(2+sqrt(x-2))

factor

\frac{1}{2 + x - 2}

\frac{2 - x - 2}{- x + 6}

Solution steps

\frac{1}{2 + x - 2}

Multiply by the conjugate

\frac{2 - x - 2}{2 - x - 2}

= \frac{1 \cdot ( 2 - x - 2 )}{( 2 + x - 2 ) ( 2 - x - 2 )}

1 \cdot (2 - x - 2) = 2 - x - 2

(2 + x - 2) (2 - x - 2) = - x + 6

= \frac{2 - x - 2}{- x + 6}

125 a^{9} b^{3} - 64 c^{3} d^{6}

- 15 b^{2 n + 6} x^{2 n + 7}

y (d y)

x e^{- 2 x^{2} - 2 y^{2}}

ab + a y + x b + x y

What is factor 1/(2+sqrt(x-2)) ?
The solution to factor 1/(2+sqrt(x-2)) is (2-sqrt(x-2))/(-x+6)