What is ((sqrt(a)-a))/((sqrt(a)-1)) ?

The solution to ((sqrt(a)-a))/((sqrt(a)-1)) is -sqrt(a)

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simplify ((sqrt(a)-a))/((sqrt(a)-1))

simplify

\frac{( a - a )}{( a - 1 )}

- a

Solution steps

\frac{a - a}{a - 1}

Factor out common term

a : a (1 - a)

= \frac{a ( 1 - a )}{a - 1}

a (1 - a) = - a (a - 1)

= \frac{- a ( a - 1 )}{a - 1}

Cancel the common factor:

a - 1

= - a

(a + b)^{4} + (a - b)^{4}

15 x^{2} (5 x^{3} - 6)^{5}

(x - 3) \cdot (x + 5) \cdot (x + 6)

a^{3} - 4 a^{2} + a + 6

14 x^{3} + 18 x^{2} y - 4 y^{3}

What is ((sqrt(a)-a))/((sqrt(a)-1)) ?
The solution to ((sqrt(a)-a))/((sqrt(a)-1)) is -sqrt(a)