What is (sqrt(3)-2)/(1+sqrt(2)) ?

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

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simplify (sqrt(3)-2)/(1+sqrt(2))

simplify

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

- 3 + 6 + 2 - 22

Decimal Notation

- 0.11098 \dots

Solution steps

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

Multiply by the conjugate

\frac{1 - 2}{1 - 2}

= \frac{( 3 - 2 ) ( 1 - 2 )}{( 1 + 2 ) ( 1 - 2 )}

Expand

(3 - 2) (1 - 2) : 3 - 6 - 2 + 22

Expand

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

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

\frac{3 - 6 - 2 + 2 2}{- 1} = - 3 + 6 + 2 - 22

= - 3 + 6 + 2 - 22

(- 4) - (- 6)

- 9 x^{4} y (- 2 y)

6 d + 4 (3 d + 5)

\frac{1 - i}{3}

(4 y^{- 2}) (8 y^{- 4})

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