What is ((a-3sqrt(a)+2))/((sqrt(a)-2)) ?

The solution to ((a-3sqrt(a)+2))/((sqrt(a)-2)) is ((a-3sqrt(a)+2)(sqrt(a)+2))/(a-4)

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simplify ((a-3sqrt(a)+2))/((sqrt(a)-2))

simplify

\frac{( a - 3 a + 2 )}{( a - 2 )}

\frac{( a - 3 a + 2 ) ( a + 2 )}{a - 4}

Solution steps

\frac{a - 3 a + 2}{a - 2}

Multiply by the conjugate

\frac{a + 2}{a + 2}

= \frac{( a - 3 a + 2 ) ( a + 2 )}{( a - 2 ) ( a + 2 )}

(a - 2) (a + 2) = a - 4

= \frac{( a - 3 a + 2 ) ( a + 2 )}{a - 4}

16 - 25 \cdot (p - q)^{2}

5 x^{2} (x + 2) (x + 3) (x - 2)

m^{4} + 4 m^{2} n^{2} + 16 n^{4}

f (x) - \frac{2}{2032}

(6 x - 6 y - 7) (6 x - 2 y - 3) (3 x + 6 y + 5)

What is ((a-3sqrt(a)+2))/((sqrt(a)-2)) ?
The solution to ((a-3sqrt(a)+2))/((sqrt(a)-2)) is ((a-3sqrt(a)+2)(sqrt(a)+2))/(a-4)