What is (-1+sqrt(6))/(1-sqrt(2)) ?

The solution to (-1+sqrt(6))/(1-sqrt(2)) is 1+sqrt(2)-sqrt(6)-2sqrt(3)

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simplify (-1+sqrt(6))/(1-sqrt(2))

simplify

\frac{- 1 + 6}{1 - 2}

1 + 2 - 6 - 23

Decimal Notation

- 3.49937 \dots

Solution steps

\frac{- 1 + 6}{1 - 2}

Multiply by the conjugate

\frac{1 + 2}{1 + 2}

= \frac{( - 1 + 6 ) ( 1 + 2 )}{( 1 - 2 ) ( 1 + 2 )}

Expand

(- 1 + 6) (1 + 2) : - 1 - 2 + 6 + 23

Expand

(1 - 2) (1 + 2) : - 1

= \frac{- 1 - 2 + 6 + 2 3}{- 1}

\frac{- 1 - 2 + 6 + 2 3}{- 1} = 1 + 2 - 6 - 23

= 1 + 2 - 6 - 23

3 \times 14

\frac{2 x}{x - 3} + \frac{6}{3 - x}

tan^{2} (x) - sec^{2} (x)

28 \times 4

20 \frac{2}{3} \div \frac{2}{3}

What is (-1+sqrt(6))/(1-sqrt(2)) ?
The solution to (-1+sqrt(6))/(1-sqrt(2)) is 1+sqrt(2)-sqrt(6)-2sqrt(3)